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Finding the Fourth Proportional to 315,363,358.32, 473,046,201.72 and 97,012,188.24

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Solution

The fourth proportional to 315,363,358.32, 473,046,201.72 and 97,012,188.24 is: 145,518,640.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,363,358.32 : 473,046,201.72 = 97,012,188.24 : x
  2. Step 2: Convert to fraction form
    315,363,358.32/473,046,201.72 = 97,012,188.24/x
  3. Step 3: Cross multiply
    315,363,358.32x = 473,046,201.72 × 97,012,188.24
  4. Step 4: Simplify right side
    315,363,358.32x = 45,891,247,167,477,656
  5. Step 5: Solve for x
    x = 45,891,247,167,477,656/315,363,358.32
  6. Step 6: Final answer
    x = 145,518,640.50

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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.