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Finding the Fourth Proportional to 577,736,246.32, 797,275,614.04 and 313,418,289.48

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Solution

The fourth proportional to 577,736,246.32, 797,275,614.04 and 313,418,289.48 is: 432,517,019.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,736,246.32 : 797,275,614.04 = 313,418,289.48 : x
  2. Step 2: Convert to fraction form
    577,736,246.32/797,275,614.04 = 313,418,289.48/x
  3. Step 3: Cross multiply
    577,736,246.32x = 797,275,614.04 × 313,418,289.48
  4. Step 4: Simplify right side
    577,736,246.32x = 249,880,759,196,533,472
  5. Step 5: Solve for x
    x = 249,880,759,196,533,472/577,736,246.32
  6. Step 6: Final answer
    x = 432,517,019.29

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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.