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Finding the Fourth Proportional to 702,199,638,233.02, 1,053,299,457,349.50 and 702,199,638,233.02

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Solution

The fourth proportional to 702,199,638,233.02, 1,053,299,457,349.50 and 702,199,638,233.02 is: 1,053,299,457,349.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,199,638,233.02 : 1,053,299,457,349.50 = 702,199,638,233.02 : x
  2. Step 2: Convert to fraction form
    702,199,638,233.02/1,053,299,457,349.50 = 702,199,638,233.02/x
  3. Step 3: Cross multiply
    702,199,638,233.02x = 1,053,299,457,349.50 × 702,199,638,233.02
  4. Step 4: Simplify right side
    702,199,638,233.02x = 739,626,497,901,855,223,316,480
  5. Step 5: Solve for x
    x = 739,626,497,901,855,223,316,480/702,199,638,233.02
  6. Step 6: Final answer
    x = 1,053,299,457,349.50

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Similar ratio
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.