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Finding the Fourth Proportional to 457,791,005,720.40, 686,686,508,580.60 and 457,791,005,720.40

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Solution

The fourth proportional to 457,791,005,720.40, 686,686,508,580.60 and 457,791,005,720.40 is: 686,686,508,580.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,791,005,720.40 : 686,686,508,580.60 = 457,791,005,720.40 : x
  2. Step 2: Convert to fraction form
    457,791,005,720.40/686,686,508,580.60 = 457,791,005,720.40/x
  3. Step 3: Cross multiply
    457,791,005,720.40x = 686,686,508,580.60 × 457,791,005,720.40
  4. Step 4: Simplify right side
    457,791,005,720.40x = 314,358,907,377,742,954,627,072
  5. Step 5: Solve for x
    x = 314,358,907,377,742,954,627,072/457,791,005,720.40
  6. Step 6: Final answer
    x = 686,686,508,580.60

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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.