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Finding the Fourth Proportional to 314,938,613.60, 472,407,920.40 and 178,889,717.60

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Solution

The fourth proportional to 314,938,613.60, 472,407,920.40 and 178,889,717.60 is: 268,334,576.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,938,613.60 : 472,407,920.40 = 178,889,717.60 : x
  2. Step 2: Convert to fraction form
    314,938,613.60/472,407,920.40 = 178,889,717.60/x
  3. Step 3: Cross multiply
    314,938,613.60x = 472,407,920.40 × 178,889,717.60
  4. Step 4: Simplify right side
    314,938,613.60x = 84,508,919,472,359,264
  5. Step 5: Solve for x
    x = 84,508,919,472,359,264/314,938,613.60
  6. Step 6: Final answer
    x = 268,334,576.40

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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.