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Finding the Fourth Proportional to 645,844,752,000.40, 968,767,128,000.60 and 645,844,752,000.40

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Solution

The fourth proportional to 645,844,752,000.40, 968,767,128,000.60 and 645,844,752,000.40 is: 968,767,128,000.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,844,752,000.40 : 968,767,128,000.60 = 645,844,752,000.40 : x
  2. Step 2: Convert to fraction form
    645,844,752,000.40/968,767,128,000.60 = 645,844,752,000.40/x
  3. Step 3: Cross multiply
    645,844,752,000.40x = 968,767,128,000.60 × 645,844,752,000.40
  4. Step 4: Simplify right side
    645,844,752,000.40x = 625,673,165,529,687,336,681,472
  5. Step 5: Solve for x
    x = 625,673,165,529,687,336,681,472/645,844,752,000.40
  6. Step 6: Final answer
    x = 968,767,128,000.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.