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Finding the Fourth Proportional to 315,480,201.30, 473,220,301.95 and 315,480,201.30

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Solution

The fourth proportional to 315,480,201.30, 473,220,301.95 and 315,480,201.30 is: 473,220,301.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,480,201.30 : 473,220,301.95 = 315,480,201.30 : x
  2. Step 2: Convert to fraction form
    315,480,201.30/473,220,301.95 = 315,480,201.30/x
  3. Step 3: Cross multiply
    315,480,201.30x = 473,220,301.95 × 315,480,201.30
  4. Step 4: Simplify right side
    315,480,201.30x = 149,291,636,118,432,800
  5. Step 5: Solve for x
    x = 149,291,636,118,432,800/315,480,201.30
  6. Step 6: Final answer
    x = 473,220,301.95

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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.