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Finding the Fourth Proportional to 83,908,224,280.85, 125,862,336,421.28 and 83,908,224,280.85

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Solution

The fourth proportional to 83,908,224,280.85, 125,862,336,421.28 and 83,908,224,280.85 is: 125,862,336,421.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,908,224,280.85 : 125,862,336,421.28 = 83,908,224,280.85 : x
  2. Step 2: Convert to fraction form
    83,908,224,280.85/125,862,336,421.28 = 83,908,224,280.85/x
  3. Step 3: Cross multiply
    83,908,224,280.85x = 125,862,336,421.28 × 83,908,224,280.85
  4. Step 4: Simplify right side
    83,908,224,280.85x = 10,560,885,152,948,559,020,032
  5. Step 5: Solve for x
    x = 10,560,885,152,948,559,020,032/83,908,224,280.85
  6. Step 6: Final answer
    x = 125,862,336,421.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.