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Finding the Fourth Proportional to 567,063,866.16, 782,543,502.36 and 316,165,277.52

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Solution

The fourth proportional to 567,063,866.16, 782,543,502.36 and 316,165,277.52 is: 436,305,499.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,063,866.16 : 782,543,502.36 = 316,165,277.52 : x
  2. Step 2: Convert to fraction form
    567,063,866.16/782,543,502.36 = 316,165,277.52/x
  3. Step 3: Cross multiply
    567,063,866.16x = 782,543,502.36 × 316,165,277.52
  4. Step 4: Simplify right side
    567,063,866.16x = 247,413,083,595,122,176
  5. Step 5: Solve for x
    x = 247,413,083,595,122,176/567,063,866.16
  6. Step 6: Final answer
    x = 436,305,499.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.