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Finding the Fourth Proportional to 773,813,088,000.75, 1,160,719,632,001.10 and 773,813,088,000.75

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Solution

The fourth proportional to 773,813,088,000.75, 1,160,719,632,001.10 and 773,813,088,000.75 is: 1,160,719,632,001.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,813,088,000.75 : 1,160,719,632,001.10 = 773,813,088,000.75 : x
  2. Step 2: Convert to fraction form
    773,813,088,000.75/1,160,719,632,001.10 = 773,813,088,000.75/x
  3. Step 3: Cross multiply
    773,813,088,000.75x = 1,160,719,632,001.10 × 773,813,088,000.75
  4. Step 4: Simplify right side
    773,813,088,000.75x = 898,180,042,741,865,403,908,096
  5. Step 5: Solve for x
    x = 898,180,042,741,865,403,908,096/773,813,088,000.75
  6. Step 6: Final answer
    x = 1,160,719,632,001.10

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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.