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Finding the Fourth Proportional to 922,271,761.60, 1,383,407,642.40 and 833,308,538.20

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Solution

The fourth proportional to 922,271,761.60, 1,383,407,642.40 and 833,308,538.20 is: 1,249,962,807.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,271,761.60 : 1,383,407,642.40 = 833,308,538.20 : x
  2. Step 2: Convert to fraction form
    922,271,761.60/1,383,407,642.40 = 833,308,538.20/x
  3. Step 3: Cross multiply
    922,271,761.60x = 1,383,407,642.40 × 833,308,538.20
  4. Step 4: Simplify right side
    922,271,761.60x = 1,152,805,400,223,052,544
  5. Step 5: Solve for x
    x = 1,152,805,400,223,052,544/922,271,761.60
  6. Step 6: Final answer
    x = 1,249,962,807.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.