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Finding the Fourth Proportional to 842,724,040.90, 1,264,086,061.35 and 842,724,040.90

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Solution

The fourth proportional to 842,724,040.90, 1,264,086,061.35 and 842,724,040.90 is: 1,264,086,061.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,724,040.90 : 1,264,086,061.35 = 842,724,040.90 : x
  2. Step 2: Convert to fraction form
    842,724,040.90/1,264,086,061.35 = 842,724,040.90/x
  3. Step 3: Cross multiply
    842,724,040.90x = 1,264,086,061.35 × 842,724,040.90
  4. Step 4: Simplify right side
    842,724,040.90x = 1,065,275,713,666,237,184
  5. Step 5: Solve for x
    x = 1,065,275,713,666,237,184/842,724,040.90
  6. Step 6: Final answer
    x = 1,264,086,061.35

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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.