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Finding the Fourth Proportional to 472,003,807.80, 708,005,711.70 and 288,337,798.20

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Solution

The fourth proportional to 472,003,807.80, 708,005,711.70 and 288,337,798.20 is: 432,506,697.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,003,807.80 : 708,005,711.70 = 288,337,798.20 : x
  2. Step 2: Convert to fraction form
    472,003,807.80/708,005,711.70 = 288,337,798.20/x
  3. Step 3: Cross multiply
    472,003,807.80x = 708,005,711.70 × 288,337,798.20
  4. Step 4: Simplify right side
    472,003,807.80x = 204,144,808,024,601,984
  5. Step 5: Solve for x
    x = 204,144,808,024,601,984/472,003,807.80
  6. Step 6: Final answer
    x = 432,506,697.30

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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.