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Finding the Fourth Proportional to 212,814,200.35, 319,221,300.53 and 212,814,200.35

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Solution

The fourth proportional to 212,814,200.35, 319,221,300.53 and 212,814,200.35 is: 319,221,300.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,814,200.35 : 319,221,300.53 = 212,814,200.35 : x
  2. Step 2: Convert to fraction form
    212,814,200.35/319,221,300.53 = 212,814,200.35/x
  3. Step 3: Cross multiply
    212,814,200.35x = 319,221,300.53 × 212,814,200.35
  4. Step 4: Simplify right side
    212,814,200.35x = 67,934,825,805,914,904
  5. Step 5: Solve for x
    x = 67,934,825,805,914,904/212,814,200.35
  6. Step 6: Final answer
    x = 319,221,300.53

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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.