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Finding the Fourth Proportional to 518,538,697.19, 778,063,409.90 and 242,149,742.21

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Solution

The fourth proportional to 518,538,697.19, 778,063,409.90 and 242,149,742.21 is: 363,343,864.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,538,697.19 : 778,063,409.90 = 242,149,742.21 : x
  2. Step 2: Convert to fraction form
    518,538,697.19/778,063,409.90 = 242,149,742.21/x
  3. Step 3: Cross multiply
    518,538,697.19x = 778,063,409.90 × 242,149,742.21
  4. Step 4: Simplify right side
    518,538,697.19x = 188,407,854,125,217,504
  5. Step 5: Solve for x
    x = 188,407,854,125,217,504/518,538,697.19
  6. Step 6: Final answer
    x = 363,343,864.49

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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.