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Finding the Fourth Proportional to 6,706,084,182,405.80, 10,059,126,273,610 and 6,706,084,182,405.80

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Solution

The fourth proportional to 6,706,084,182,405.80, 10,059,126,273,610 and 6,706,084,182,405.80 is: 10,059,126,273,610

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706,084,182,405.80 : 10,059,126,273,610 = 6,706,084,182,405.80 : x
  2. Step 2: Convert to fraction form
    6,706,084,182,405.80/10,059,126,273,610 = 6,706,084,182,405.80/x
  3. Step 3: Cross multiply
    6,706,084,182,405.80x = 10,059,126,273,610 × 6,706,084,182,405.80
  4. Step 4: Simplify right side
    6,706,084,182,405.80x = 67,457,347,592,278,612,411,154,432
  5. Step 5: Solve for x
    x = 67,457,347,592,278,612,411,154,432/6,706,084,182,405.80
  6. Step 6: Final answer
    x = 10,059,126,273,610

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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.