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Finding the Fourth Proportional to 907,019,262.40, 1,272,245,614.40 and 907,019,262.40

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Solution

The fourth proportional to 907,019,262.40, 1,272,245,614.40 and 907,019,262.40 is: 1,272,245,614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,019,262.40 : 1,272,245,614.40 = 907,019,262.40 : x
  2. Step 2: Convert to fraction form
    907,019,262.40/1,272,245,614.40 = 907,019,262.40/x
  3. Step 3: Cross multiply
    907,019,262.40x = 1,272,245,614.40 × 907,019,262.40
  4. Step 4: Simplify right side
    907,019,262.40x = 1,153,951,278,764,722,944
  5. Step 5: Solve for x
    x = 1,153,951,278,764,722,944/907,019,262.40
  6. Step 6: Final answer
    x = 1,272,245,614.40

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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.