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Finding the Fourth Proportional to 7,776,643.65, 10,898,498.55 and 7,776,643.65

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Solution

The fourth proportional to 7,776,643.65, 10,898,498.55 and 7,776,643.65 is: 10,898,498.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776,643.65 : 10,898,498.55 = 7,776,643.65 : x
  2. Step 2: Convert to fraction form
    7,776,643.65/10,898,498.55 = 7,776,643.65/x
  3. Step 3: Cross multiply
    7,776,643.65x = 10,898,498.55 × 7,776,643.65
  4. Step 4: Simplify right side
    7,776,643.65x = 84,753,739,543,391.72
  5. Step 5: Solve for x
    x = 84,753,739,543,391.72/7,776,643.65
  6. Step 6: Final answer
    x = 10,898,498.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.