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Finding the Fourth Proportional to 24,865,643,419.20, 37,298,465,128.80 and 24,865,643,419.20

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Solution

The fourth proportional to 24,865,643,419.20, 37,298,465,128.80 and 24,865,643,419.20 is: 37,298,465,128.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,865,643,419.20 : 37,298,465,128.80 = 24,865,643,419.20 : x
  2. Step 2: Convert to fraction form
    24,865,643,419.20/37,298,465,128.80 = 24,865,643,419.20/x
  3. Step 3: Cross multiply
    24,865,643,419.20x = 37,298,465,128.80 × 24,865,643,419.20
  4. Step 4: Simplify right side
    24,865,643,419.20x = 927,450,333,976,206,508,032
  5. Step 5: Solve for x
    x = 927,450,333,976,206,508,032/24,865,643,419.20
  6. Step 6: Final answer
    x = 37,298,465,128.80

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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.