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Finding the Fourth Proportional to 9,711,203.20, 14,566,804.80 and 9,711,203.20

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Solution

The fourth proportional to 9,711,203.20, 14,566,804.80 and 9,711,203.20 is: 14,566,804.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711,203.20 : 14,566,804.80 = 9,711,203.20 : x
  2. Step 2: Convert to fraction form
    9,711,203.20/14,566,804.80 = 9,711,203.20/x
  3. Step 3: Cross multiply
    9,711,203.20x = 14,566,804.80 × 9,711,203.20
  4. Step 4: Simplify right side
    9,711,203.20x = 141,461,201,387,535.34
  5. Step 5: Solve for x
    x = 141,461,201,387,535.34/9,711,203.20
  6. Step 6: Final answer
    x = 14,566,804.80

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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.