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Finding the Fourth Proportional to 315,480,211.05, 473,220,316.58 and 315,480,211.05

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Solution

The fourth proportional to 315,480,211.05, 473,220,316.58 and 315,480,211.05 is: 473,220,316.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,480,211.05 : 473,220,316.58 = 315,480,211.05 : x
  2. Step 2: Convert to fraction form
    315,480,211.05/473,220,316.58 = 315,480,211.05/x
  3. Step 3: Cross multiply
    315,480,211.05x = 473,220,316.58 × 315,480,211.05
  4. Step 4: Simplify right side
    315,480,211.05x = 149,291,645,346,228,800
  5. Step 5: Solve for x
    x = 149,291,645,346,228,800/315,480,211.05
  6. Step 6: Final answer
    x = 473,220,316.58

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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.