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Finding the Fourth Proportional to 725,868,009.20, 1,088,802,013.80 and 725,868,009.20

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Solution

The fourth proportional to 725,868,009.20, 1,088,802,013.80 and 725,868,009.20 is: 1,088,802,013.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,868,009.20 : 1,088,802,013.80 = 725,868,009.20 : x
  2. Step 2: Convert to fraction form
    725,868,009.20/1,088,802,013.80 = 725,868,009.20/x
  3. Step 3: Cross multiply
    725,868,009.20x = 1,088,802,013.80 × 725,868,009.20
  4. Step 4: Simplify right side
    725,868,009.20x = 790,326,550,169,956,992
  5. Step 5: Solve for x
    x = 790,326,550,169,956,992/725,868,009.20
  6. Step 6: Final answer
    x = 1,088,802,013.80

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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.