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Finding the Fourth Proportional to 1,006,352,404.94, 1,508,760,182.28 and 315,860,167.82

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Solution

The fourth proportional to 1,006,352,404.94, 1,508,760,182.28 and 315,860,167.82 is: 473,549,068.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006,352,404.94 : 1,508,760,182.28 = 315,860,167.82 : x
  2. Step 2: Convert to fraction form
    1,006,352,404.94/1,508,760,182.28 = 315,860,167.82/x
  3. Step 3: Cross multiply
    1,006,352,404.94x = 1,508,760,182.28 × 315,860,167.82
  4. Step 4: Simplify right side
    1,006,352,404.94x = 476,557,244,375,094,592
  5. Step 5: Solve for x
    x = 476,557,244,375,094,592/1,006,352,404.94
  6. Step 6: Final answer
    x = 473,549,068.93

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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.