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Finding the Fourth Proportional to 99,666,585.30, 149,499,877.95 and 99,666,585.30

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Solution

The fourth proportional to 99,666,585.30, 149,499,877.95 and 99,666,585.30 is: 149,499,877.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,666,585.30 : 149,499,877.95 = 99,666,585.30 : x
  2. Step 2: Convert to fraction form
    99,666,585.30/149,499,877.95 = 99,666,585.30/x
  3. Step 3: Cross multiply
    99,666,585.30x = 149,499,877.95 × 99,666,585.30
  4. Step 4: Simplify right side
    99,666,585.30x = 14,900,142,338,043,262
  5. Step 5: Solve for x
    x = 14,900,142,338,043,262/99,666,585.30
  6. Step 6: Final answer
    x = 149,499,877.95

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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.