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Finding the Fourth Proportional to 5,218,501.05, 7,827,751.58 and 5,218,501.05

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Solution

The fourth proportional to 5,218,501.05, 7,827,751.58 and 5,218,501.05 is: 7,827,751.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218,501.05 : 7,827,751.58 = 5,218,501.05 : x
  2. Step 2: Convert to fraction form
    5,218,501.05/7,827,751.58 = 5,218,501.05/x
  3. Step 3: Cross multiply
    5,218,501.05x = 7,827,751.58 × 5,218,501.05
  4. Step 4: Simplify right side
    5,218,501.05x = 40,849,129,813,276.66
  5. Step 5: Solve for x
    x = 40,849,129,813,276.66/5,218,501.05
  6. Step 6: Final answer
    x = 7,827,751.58

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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.