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Finding the Fourth Proportional to 577,736,248.32, 797,275,616.80 and 313,418,291.48

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Solution

The fourth proportional to 577,736,248.32, 797,275,616.80 and 313,418,291.48 is: 432,517,022.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,736,248.32 : 797,275,616.80 = 313,418,291.48 : x
  2. Step 2: Convert to fraction form
    577,736,248.32/797,275,616.80 = 313,418,291.48/x
  3. Step 3: Cross multiply
    577,736,248.32x = 797,275,616.80 × 313,418,291.48
  4. Step 4: Simplify right side
    577,736,248.32x = 249,880,761,656,119,200
  5. Step 5: Solve for x
    x = 249,880,761,656,119,200/577,736,248.32
  6. Step 6: Final answer
    x = 432,517,022.05

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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.