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Finding the Fourth Proportional to 773,991,651.10, 1,086,649,411.70 and 773,991,651.10

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Solution

The fourth proportional to 773,991,651.10, 1,086,649,411.70 and 773,991,651.10 is: 1,086,649,411.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,991,651.10 : 1,086,649,411.70 = 773,991,651.10 : x
  2. Step 2: Convert to fraction form
    773,991,651.10/1,086,649,411.70 = 773,991,651.10/x
  3. Step 3: Cross multiply
    773,991,651.10x = 1,086,649,411.70 × 773,991,651.10
  4. Step 4: Simplify right side
    773,991,651.10x = 841,057,572,328,526,720
  5. Step 5: Solve for x
    x = 841,057,572,328,526,720/773,991,651.10
  6. Step 6: Final answer
    x = 1,086,649,411.70

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1.5x scale

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.