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Finding the Fourth Proportional to 1,069,969,968, 1,602,866,412.96 and 737,191,947.12

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Solution

The fourth proportional to 1,069,969,968, 1,602,866,412.96 and 737,191,947.12 is: 1,104,348,951.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069,969,968 : 1,602,866,412.96 = 737,191,947.12 : x
  2. Step 2: Convert to fraction form
    1,069,969,968/1,602,866,412.96 = 737,191,947.12/x
  3. Step 3: Cross multiply
    1,069,969,968x = 1,602,866,412.96 × 737,191,947.12
  4. Step 4: Simplify right side
    1,069,969,968x = 1,181,620,211,943,232,512
  5. Step 5: Solve for x
    x = 1,181,620,211,943,232,512/1,069,969,968
  6. Step 6: Final answer
    x = 1,104,348,951.17

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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.