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Finding the Fourth Proportional to 7,836,651,736.70, 11,002,306,070.50 and 7,836,651,736.70

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Solution

The fourth proportional to 7,836,651,736.70, 11,002,306,070.50 and 7,836,651,736.70 is: 11,002,306,070.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836,651,736.70 : 11,002,306,070.50 = 7,836,651,736.70 : x
  2. Step 2: Convert to fraction form
    7,836,651,736.70/11,002,306,070.50 = 7,836,651,736.70/x
  3. Step 3: Cross multiply
    7,836,651,736.70x = 11,002,306,070.50 × 7,836,651,736.70
  4. Step 4: Simplify right side
    7,836,651,736.70x = 86,221,240,975,088,779,264
  5. Step 5: Solve for x
    x = 86,221,240,975,088,779,264/7,836,651,736.70
  6. Step 6: Final answer
    x = 11,002,306,070.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.