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Finding the Fourth Proportional to 7,775,998.40, 10,897,595.20 and 7,775,998.40

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Solution

The fourth proportional to 7,775,998.40, 10,897,595.20 and 7,775,998.40 is: 10,897,595.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775,998.40 : 10,897,595.20 = 7,775,998.40 : x
  2. Step 2: Convert to fraction form
    7,775,998.40/10,897,595.20 = 7,775,998.40/x
  3. Step 3: Cross multiply
    7,775,998.40x = 10,897,595.20 × 7,775,998.40
  4. Step 4: Simplify right side
    7,775,998.40x = 84,739,682,839,047.67
  5. Step 5: Solve for x
    x = 84,739,682,839,047.67/7,775,998.40
  6. Step 6: Final answer
    x = 10,897,595.20

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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.