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Finding the Fourth Proportional to 559,872,051.20, 782,006,886.40 and 559,872,051.20

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Solution

The fourth proportional to 559,872,051.20, 782,006,886.40 and 559,872,051.20 is: 782,006,886.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,872,051.20 : 782,006,886.40 = 559,872,051.20 : x
  2. Step 2: Convert to fraction form
    559,872,051.20/782,006,886.40 = 559,872,051.20/x
  3. Step 3: Cross multiply
    559,872,051.20x = 782,006,886.40 × 559,872,051.20
  4. Step 4: Simplify right side
    559,872,051.20x = 437,823,799,541,293,376
  5. Step 5: Solve for x
    x = 437,823,799,541,293,376/559,872,051.20
  6. Step 6: Final answer
    x = 782,006,886.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.