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Finding the Fourth Proportional to 298,408,827.60, 447,613,241.40 and 82,998,075.60

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Solution

The fourth proportional to 298,408,827.60, 447,613,241.40 and 82,998,075.60 is: 124,497,113.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,408,827.60 : 447,613,241.40 = 82,998,075.60 : x
  2. Step 2: Convert to fraction form
    298,408,827.60/447,613,241.40 = 82,998,075.60/x
  3. Step 3: Cross multiply
    298,408,827.60x = 447,613,241.40 × 82,998,075.60
  4. Step 4: Simplify right side
    298,408,827.60x = 37,151,037,649,278,248
  5. Step 5: Solve for x
    x = 37,151,037,649,278,248/298,408,827.60
  6. Step 6: Final answer
    x = 124,497,113.40

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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.