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Finding the Fourth Proportional to 86,257,095,000.30, 129,385,642,500.45 and 86,257,095,000.30

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Solution

The fourth proportional to 86,257,095,000.30, 129,385,642,500.45 and 86,257,095,000.30 is: 129,385,642,500.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,257,095,000.30 : 129,385,642,500.45 = 86,257,095,000.30 : x
  2. Step 2: Convert to fraction form
    86,257,095,000.30/129,385,642,500.45 = 86,257,095,000.30/x
  3. Step 3: Cross multiply
    86,257,095,000.30x = 129,385,642,500.45 × 86,257,095,000.30
  4. Step 4: Simplify right side
    86,257,095,000.30x = 11,160,429,656,836,168,220,672
  5. Step 5: Solve for x
    x = 11,160,429,656,836,168,220,672/86,257,095,000.30
  6. Step 6: Final answer
    x = 129,385,642,500.45

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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.