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Finding the Fourth Proportional to 86,565,850,686.80, 129,642,151,769.40 and 86,565,850,686.80

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Solution

The fourth proportional to 86,565,850,686.80, 129,642,151,769.40 and 86,565,850,686.80 is: 129,642,151,769.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,565,850,686.80 : 129,642,151,769.40 = 86,565,850,686.80 : x
  2. Step 2: Convert to fraction form
    86,565,850,686.80/129,642,151,769.40 = 86,565,850,686.80/x
  3. Step 3: Cross multiply
    86,565,850,686.80x = 129,642,151,769.40 × 86,565,850,686.80
  4. Step 4: Simplify right side
    86,565,850,686.80x = 11,222,583,152,785,345,216,512
  5. Step 5: Solve for x
    x = 11,222,583,152,785,345,216,512/86,565,850,686.80
  6. Step 6: Final answer
    x = 129,642,151,769.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.