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Finding the Fourth Proportional to 456,749,406, 630,314,872.92 and 247,905,624.96

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Solution

The fourth proportional to 456,749,406, 630,314,872.92 and 247,905,624.96 is: 342,110,138.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,749,406 : 630,314,872.92 = 247,905,624.96 : x
  2. Step 2: Convert to fraction form
    456,749,406/630,314,872.92 = 247,905,624.96/x
  3. Step 3: Cross multiply
    456,749,406x = 630,314,872.92 × 247,905,624.96
  4. Step 4: Simplify right side
    456,749,406x = 156,258,602,492,815,584
  5. Step 5: Solve for x
    x = 156,258,602,492,815,584/456,749,406
  6. Step 6: Final answer
    x = 342,110,138.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.