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Finding the Fourth Proportional to 400,772,642.40, 601,158,963.60 and 400,772,642.40

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Solution

The fourth proportional to 400,772,642.40, 601,158,963.60 and 400,772,642.40 is: 601,158,963.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,772,642.40 : 601,158,963.60 = 400,772,642.40 : x
  2. Step 2: Convert to fraction form
    400,772,642.40/601,158,963.60 = 400,772,642.40/x
  3. Step 3: Cross multiply
    400,772,642.40x = 601,158,963.60 × 400,772,642.40
  4. Step 4: Simplify right side
    400,772,642.40x = 240,928,066,344,417,408
  5. Step 5: Solve for x
    x = 240,928,066,344,417,408/400,772,642.40
  6. Step 6: Final answer
    x = 601,158,963.60

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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.