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Finding the Fourth Proportional to 42,784,246.80, 64,176,370.20 and 42,784,246.80

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Solution

The fourth proportional to 42,784,246.80, 64,176,370.20 and 42,784,246.80 is: 64,176,370.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,784,246.80 : 64,176,370.20 = 42,784,246.80 : x
  2. Step 2: Convert to fraction form
    42,784,246.80/64,176,370.20 = 42,784,246.80/x
  3. Step 3: Cross multiply
    42,784,246.80x = 64,176,370.20 × 42,784,246.80
  4. Step 4: Simplify right side
    42,784,246.80x = 2,745,737,661,364,965.50
  5. Step 5: Solve for x
    x = 2,745,737,661,364,965.50/42,784,246.80
  6. Step 6: Final answer
    x = 64,176,370.20

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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.