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Finding the Fourth Proportional to 82,130,565,585.90, 123,195,848,378.85 and 82,130,565,585.90

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Solution

The fourth proportional to 82,130,565,585.90, 123,195,848,378.85 and 82,130,565,585.90 is: 123,195,848,378.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,130,565,585.90 : 123,195,848,378.85 = 82,130,565,585.90 : x
  2. Step 2: Convert to fraction form
    82,130,565,585.90/123,195,848,378.85 = 82,130,565,585.90/x
  3. Step 3: Cross multiply
    82,130,565,585.90x = 123,195,848,378.85 × 82,130,565,585.90
  4. Step 4: Simplify right side
    82,130,565,585.90x = 10,118,144,705,189,732,417,536
  5. Step 5: Solve for x
    x = 10,118,144,705,189,732,417,536/82,130,565,585.90
  6. Step 6: Final answer
    x = 123,195,848,378.85

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Double scale
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1.5x scale

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.