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Finding the Fourth Proportional to 1,069,969,969, 1,602,866,414.46 and 737,191,948.12

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Solution

The fourth proportional to 1,069,969,969, 1,602,866,414.46 and 737,191,948.12 is: 1,104,348,952.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069,969,969 : 1,602,866,414.46 = 737,191,948.12 : x
  2. Step 2: Convert to fraction form
    1,069,969,969/1,602,866,414.46 = 737,191,948.12/x
  3. Step 3: Cross multiply
    1,069,969,969x = 1,602,866,414.46 × 737,191,948.12
  4. Step 4: Simplify right side
    1,069,969,969x = 1,181,620,214,651,886,848
  5. Step 5: Solve for x
    x = 1,181,620,214,651,886,848/1,069,969,969
  6. Step 6: Final answer
    x = 1,104,348,952.67

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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.