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Finding the Fourth Proportional to 564,656,464.80, 846,984,697.20 and 409,688,269.20

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Solution

The fourth proportional to 564,656,464.80, 846,984,697.20 and 409,688,269.20 is: 614,532,403.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,656,464.80 : 846,984,697.20 = 409,688,269.20 : x
  2. Step 2: Convert to fraction form
    564,656,464.80/846,984,697.20 = 409,688,269.20/x
  3. Step 3: Cross multiply
    564,656,464.80x = 846,984,697.20 × 409,688,269.20
  4. Step 4: Simplify right side
    564,656,464.80x = 346,999,694,634,754,112
  5. Step 5: Solve for x
    x = 346,999,694,634,754,112/564,656,464.80
  6. Step 6: Final answer
    x = 614,532,403.80

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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.