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Finding the Fourth Proportional to 47,662,718.40, 71,494,077.60 and 47,662,718.40

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Solution

The fourth proportional to 47,662,718.40, 71,494,077.60 and 47,662,718.40 is: 71,494,077.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,662,718.40 : 71,494,077.60 = 47,662,718.40 : x
  2. Step 2: Convert to fraction form
    47,662,718.40/71,494,077.60 = 47,662,718.40/x
  3. Step 3: Cross multiply
    47,662,718.40x = 71,494,077.60 × 47,662,718.40
  4. Step 4: Simplify right side
    47,662,718.40x = 3,407,602,087,916,547.50
  5. Step 5: Solve for x
    x = 3,407,602,087,916,547.50/47,662,718.40
  6. Step 6: Final answer
    x = 71,494,077.60

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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.