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Finding the Fourth Proportional to 534,852,019.40, 801,002,570.69 and 534,852,019.40

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Solution

The fourth proportional to 534,852,019.40, 801,002,570.69 and 534,852,019.40 is: 801,002,570.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,852,019.40 : 801,002,570.69 = 534,852,019.40 : x
  2. Step 2: Convert to fraction form
    534,852,019.40/801,002,570.69 = 534,852,019.40/x
  3. Step 3: Cross multiply
    534,852,019.40x = 801,002,570.69 × 534,852,019.40
  4. Step 4: Simplify right side
    534,852,019.40x = 428,417,842,478,137,792
  5. Step 5: Solve for x
    x = 428,417,842,478,137,792/534,852,019.40
  6. Step 6: Final answer
    x = 801,002,570.69

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