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Finding the Fourth Proportional to 702,199,638,287.02, 1,053,299,457,430.50 and 702,199,638,287.02

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Solution

The fourth proportional to 702,199,638,287.02, 1,053,299,457,430.50 and 702,199,638,287.02 is: 1,053,299,457,430.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,199,638,287.02 : 1,053,299,457,430.50 = 702,199,638,287.02 : x
  2. Step 2: Convert to fraction form
    702,199,638,287.02/1,053,299,457,430.50 = 702,199,638,287.02/x
  3. Step 3: Cross multiply
    702,199,638,287.02x = 1,053,299,457,430.50 × 702,199,638,287.02
  4. Step 4: Simplify right side
    702,199,638,287.02x = 739,626,498,015,611,592,900,608
  5. Step 5: Solve for x
    x = 739,626,498,015,611,592,900,608/702,199,638,287.02
  6. Step 6: Final answer
    x = 1,053,299,457,430.50

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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.