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Finding the Fourth Proportional to 34,142,428.40, 51,213,642.60 and 34,142,428.40

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Solution

The fourth proportional to 34,142,428.40, 51,213,642.60 and 34,142,428.40 is: 51,213,642.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,142,428.40 : 51,213,642.60 = 34,142,428.40 : x
  2. Step 2: Convert to fraction form
    34,142,428.40/51,213,642.60 = 34,142,428.40/x
  3. Step 3: Cross multiply
    34,142,428.40x = 51,213,642.60 × 34,142,428.40
  4. Step 4: Simplify right side
    34,142,428.40x = 1,748,558,125,573,689.75
  5. Step 5: Solve for x
    x = 1,748,558,125,573,689.75/34,142,428.40
  6. Step 6: Final answer
    x = 51,213,642.60

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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.