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Finding the Fourth Proportional to 702,199,638,218.02, 1,053,299,457,327.10 and 702,199,638,218.02

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Solution

The fourth proportional to 702,199,638,218.02, 1,053,299,457,327.10 and 702,199,638,218.02 is: 1,053,299,457,327.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,199,638,218.02 : 1,053,299,457,327.10 = 702,199,638,218.02 : x
  2. Step 2: Convert to fraction form
    702,199,638,218.02/1,053,299,457,327.10 = 702,199,638,218.02/x
  3. Step 3: Cross multiply
    702,199,638,218.02x = 1,053,299,457,327.10 × 702,199,638,218.02
  4. Step 4: Simplify right side
    702,199,638,218.02x = 739,626,497,870,326,405,267,456
  5. Step 5: Solve for x
    x = 739,626,497,870,326,405,267,456/702,199,638,218.02
  6. Step 6: Final answer
    x = 1,053,299,457,327.10

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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.