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Finding the Fourth Proportional to 40,945,565,569.80, 61,418,348,354.70 and 40,945,565,569.80

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Solution

The fourth proportional to 40,945,565,569.80, 61,418,348,354.70 and 40,945,565,569.80 is: 61,418,348,354.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,945,565,569.80 : 61,418,348,354.70 = 40,945,565,569.80 : x
  2. Step 2: Convert to fraction form
    40,945,565,569.80/61,418,348,354.70 = 40,945,565,569.80/x
  3. Step 3: Cross multiply
    40,945,565,569.80x = 61,418,348,354.70 × 40,945,565,569.80
  4. Step 4: Simplify right side
    40,945,565,569.80x = 2,514,809,009,746,186,600,448
  5. Step 5: Solve for x
    x = 2,514,809,009,746,186,600,448/40,945,565,569.80
  6. Step 6: Final answer
    x = 61,418,348,354.70

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Double scale
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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.