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Finding the Fourth Proportional to 616,605,756.16, 850,837,736 and 338,073,984.96

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Solution

The fourth proportional to 616,605,756.16, 850,837,736 and 338,073,984.96 is: 466,499,219.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,605,756.16 : 850,837,736 = 338,073,984.96 : x
  2. Step 2: Convert to fraction form
    616,605,756.16/850,837,736 = 338,073,984.96/x
  3. Step 3: Cross multiply
    616,605,756.16x = 850,837,736 × 338,073,984.96
  4. Step 4: Simplify right side
    616,605,756.16x = 287,646,103,963,864,448
  5. Step 5: Solve for x
    x = 287,646,103,963,864,448/616,605,756.16
  6. Step 6: Final answer
    x = 466,499,219.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.