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Finding the Fourth Proportional to 998,570,822.40, 1,494,936,604.80 and 711,916,358.40

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Solution

The fourth proportional to 998,570,822.40, 1,494,936,604.80 and 711,916,358.40 is: 1,065,793,031.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,570,822.40 : 1,494,936,604.80 = 711,916,358.40 : x
  2. Step 2: Convert to fraction form
    998,570,822.40/1,494,936,604.80 = 711,916,358.40/x
  3. Step 3: Cross multiply
    998,570,822.40x = 1,494,936,604.80 × 711,916,358.40
  4. Step 4: Simplify right side
    998,570,822.40x = 1,064,269,823,728,075,904
  5. Step 5: Solve for x
    x = 1,064,269,823,728,075,904/998,570,822.40
  6. Step 6: Final answer
    x = 1,065,793,031.25

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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.