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Finding the Fourth Proportional to 83,908,224,024.35, 125,862,336,036.52 and 83,908,224,024.35

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Solution

The fourth proportional to 83,908,224,024.35, 125,862,336,036.52 and 83,908,224,024.35 is: 125,862,336,036.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,908,224,024.35 : 125,862,336,036.52 = 83,908,224,024.35 : x
  2. Step 2: Convert to fraction form
    83,908,224,024.35/125,862,336,036.52 = 83,908,224,024.35/x
  3. Step 3: Cross multiply
    83,908,224,024.35x = 125,862,336,036.52 × 83,908,224,024.35
  4. Step 4: Simplify right side
    83,908,224,024.35x = 10,560,885,088,380,342,239,232
  5. Step 5: Solve for x
    x = 10,560,885,088,380,342,239,232/83,908,224,024.35
  6. Step 6: Final answer
    x = 125,862,336,036.52

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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.