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Finding the Fourth Proportional to 871,912,608,085.60, 1,307,868,912,128.40 and 871,912,608,085.60

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Solution

The fourth proportional to 871,912,608,085.60, 1,307,868,912,128.40 and 871,912,608,085.60 is: 1,307,868,912,128.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,912,608,085.60 : 1,307,868,912,128.40 = 871,912,608,085.60 : x
  2. Step 2: Convert to fraction form
    871,912,608,085.60/1,307,868,912,128.40 = 871,912,608,085.60/x
  3. Step 3: Cross multiply
    871,912,608,085.60x = 1,307,868,912,128.40 × 871,912,608,085.60
  4. Step 4: Simplify right side
    871,912,608,085.60x = 1,140,347,394,207,949,590,102,016
  5. Step 5: Solve for x
    x = 1,140,347,394,207,949,590,102,016/871,912,608,085.60
  6. Step 6: Final answer
    x = 1,307,868,912,128.40

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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.