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Finding the Fourth Proportional to 54,692,085.30, 82,038,127.95 and 54,692,085.30

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Solution

The fourth proportional to 54,692,085.30, 82,038,127.95 and 54,692,085.30 is: 82,038,127.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,692,085.30 : 82,038,127.95 = 54,692,085.30 : x
  2. Step 2: Convert to fraction form
    54,692,085.30/82,038,127.95 = 54,692,085.30/x
  3. Step 3: Cross multiply
    54,692,085.30x = 82,038,127.95 × 54,692,085.30
  4. Step 4: Simplify right side
    54,692,085.30x = 4,486,836,291,693,714
  5. Step 5: Solve for x
    x = 4,486,836,291,693,714/54,692,085.30
  6. Step 6: Final answer
    x = 82,038,127.95

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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.