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Finding the Fourth Proportional to 1,120,972,406.90, 1,681,458,610.35 and 1,120,972,406.90

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Solution

The fourth proportional to 1,120,972,406.90, 1,681,458,610.35 and 1,120,972,406.90 is: 1,681,458,610.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120,972,406.90 : 1,681,458,610.35 = 1,120,972,406.90 : x
  2. Step 2: Convert to fraction form
    1,120,972,406.90/1,681,458,610.35 = 1,120,972,406.90/x
  3. Step 3: Cross multiply
    1,120,972,406.90x = 1,681,458,610.35 × 1,120,972,406.90
  4. Step 4: Simplify right side
    1,120,972,406.90x = 1,884,868,705,546,768,896
  5. Step 5: Solve for x
    x = 1,884,868,705,546,768,896/1,120,972,406.90
  6. Step 6: Final answer
    x = 1,681,458,610.35

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Double scale
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1.5x scale

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.