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Finding the Fourth Proportional to 82,130,565,565.90, 123,195,848,348.85 and 82,130,565,565.90

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Solution

The fourth proportional to 82,130,565,565.90, 123,195,848,348.85 and 82,130,565,565.90 is: 123,195,848,348.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,130,565,565.90 : 123,195,848,348.85 = 82,130,565,565.90 : x
  2. Step 2: Convert to fraction form
    82,130,565,565.90/123,195,848,348.85 = 82,130,565,565.90/x
  3. Step 3: Cross multiply
    82,130,565,565.90x = 123,195,848,348.85 × 82,130,565,565.90
  4. Step 4: Simplify right side
    82,130,565,565.90x = 10,118,144,700,261,897,076,736
  5. Step 5: Solve for x
    x = 10,118,144,700,261,897,076,736/82,130,565,565.90
  6. Step 6: Final answer
    x = 123,195,848,348.85

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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.