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Finding the Fourth Proportional to 70,531,007.60, 105,796,511.40 and 47,572,756.40

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Solution

The fourth proportional to 70,531,007.60, 105,796,511.40 and 47,572,756.40 is: 71,359,134.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,531,007.60 : 105,796,511.40 = 47,572,756.40 : x
  2. Step 2: Convert to fraction form
    70,531,007.60/105,796,511.40 = 47,572,756.40/x
  3. Step 3: Cross multiply
    70,531,007.60x = 105,796,511.40 × 47,572,756.40
  4. Step 4: Simplify right side
    70,531,007.60x = 5,033,031,664,802,023
  5. Step 5: Solve for x
    x = 5,033,031,664,802,023/70,531,007.60
  6. Step 6: Final answer
    x = 71,359,134.60

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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.