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Finding the Fourth Proportional to 922,752,006.80, 1,384,128,010.20 and 861,837,933.20

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Solution

The fourth proportional to 922,752,006.80, 1,384,128,010.20 and 861,837,933.20 is: 1,292,756,899.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,752,006.80 : 1,384,128,010.20 = 861,837,933.20 : x
  2. Step 2: Convert to fraction form
    922,752,006.80/1,384,128,010.20 = 861,837,933.20/x
  3. Step 3: Cross multiply
    922,752,006.80x = 1,384,128,010.20 × 861,837,933.20
  4. Step 4: Simplify right side
    922,752,006.80x = 1,192,894,023,594,996,736
  5. Step 5: Solve for x
    x = 1,192,894,023,594,996,736/922,752,006.80
  6. Step 6: Final answer
    x = 1,292,756,899.80

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1.5x scale

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.