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Finding the Fourth Proportional to 598,538,656.80, 896,016,394.80 and 534,041,402.40

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Solution

The fourth proportional to 598,538,656.80, 896,016,394.80 and 534,041,402.40 is: 799,463,571.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,538,656.80 : 896,016,394.80 = 534,041,402.40 : x
  2. Step 2: Convert to fraction form
    598,538,656.80/896,016,394.80 = 534,041,402.40/x
  3. Step 3: Cross multiply
    598,538,656.80x = 896,016,394.80 × 534,041,402.40
  4. Step 4: Simplify right side
    598,538,656.80x = 478,509,852,052,384,000
  5. Step 5: Solve for x
    x = 478,509,852,052,384,000/598,538,656.80
  6. Step 6: Final answer
    x = 799,463,571.18

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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.