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Finding the Fourth Proportional to 570,564,000.10, 855,846,000.15 and 532,016,812.90

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Solution

The fourth proportional to 570,564,000.10, 855,846,000.15 and 532,016,812.90 is: 798,025,219.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,564,000.10 : 855,846,000.15 = 532,016,812.90 : x
  2. Step 2: Convert to fraction form
    570,564,000.10/855,846,000.15 = 532,016,812.90/x
  3. Step 3: Cross multiply
    570,564,000.10x = 855,846,000.15 × 532,016,812.90
  4. Step 4: Simplify right side
    570,564,000.10x = 455,324,461,333,015,872
  5. Step 5: Solve for x
    x = 455,324,461,333,015,872/570,564,000.10
  6. Step 6: Final answer
    x = 798,025,219.35

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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.