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Finding the Fourth Proportional to 11,337,417,998.80, 15,835,651,996.40 and 11,337,417,998.80

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Solution

The fourth proportional to 11,337,417,998.80, 15,835,651,996.40 and 11,337,417,998.80 is: 15,835,651,996.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,337,417,998.80 : 15,835,651,996.40 = 11,337,417,998.80 : x
  2. Step 2: Convert to fraction form
    11,337,417,998.80/15,835,651,996.40 = 11,337,417,998.80/x
  3. Step 3: Cross multiply
    11,337,417,998.80x = 15,835,651,996.40 × 11,337,417,998.80
  4. Step 4: Simplify right side
    11,337,417,998.80x = 179,535,405,966,718,500,864
  5. Step 5: Solve for x
    x = 179,535,405,966,718,500,864/11,337,417,998.80
  6. Step 6: Final answer
    x = 15,835,651,996.40

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Double scale
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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.