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Finding the Fourth Proportional to 614,565,537.95, 921,848,306.93 and 614,565,537.95

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Solution

The fourth proportional to 614,565,537.95, 921,848,306.93 and 614,565,537.95 is: 921,848,306.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,565,537.95 : 921,848,306.93 = 614,565,537.95 : x
  2. Step 2: Convert to fraction form
    614,565,537.95/921,848,306.93 = 614,565,537.95/x
  3. Step 3: Cross multiply
    614,565,537.95x = 921,848,306.93 × 614,565,537.95
  4. Step 4: Simplify right side
    614,565,537.95x = 566,536,200,656,732,160
  5. Step 5: Solve for x
    x = 566,536,200,656,732,160/614,565,537.95
  6. Step 6: Final answer
    x = 921,848,306.93

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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.