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Finding the Fourth Proportional to 53,796,998.40, 80,695,497.60 and 47,414,457.60

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Solution

The fourth proportional to 53,796,998.40, 80,695,497.60 and 47,414,457.60 is: 71,121,686.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,796,998.40 : 80,695,497.60 = 47,414,457.60 : x
  2. Step 2: Convert to fraction form
    53,796,998.40/80,695,497.60 = 47,414,457.60/x
  3. Step 3: Cross multiply
    53,796,998.40x = 80,695,497.60 × 47,414,457.60
  4. Step 4: Simplify right side
    53,796,998.40x = 3,826,133,249,466,101.50
  5. Step 5: Solve for x
    x = 3,826,133,249,466,101.50/53,796,998.40
  6. Step 6: Final answer
    x = 71,121,686.40

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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.