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Finding the Fourth Proportional to 99,856,468.80, 149,784,703.20 and 99,856,468.80

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Solution

The fourth proportional to 99,856,468.80, 149,784,703.20 and 99,856,468.80 is: 149,784,703.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,856,468.80 : 149,784,703.20 = 99,856,468.80 : x
  2. Step 2: Convert to fraction form
    99,856,468.80/149,784,703.20 = 99,856,468.80/x
  3. Step 3: Cross multiply
    99,856,468.80x = 149,784,703.20 × 99,856,468.80
  4. Step 4: Simplify right side
    99,856,468.80x = 14,956,971,541,808,058
  5. Step 5: Solve for x
    x = 14,956,971,541,808,058/99,856,468.80
  6. Step 6: Final answer
    x = 149,784,703.20

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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.