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Finding the Fourth Proportional to 906,609,689.60, 1,359,914,534.40 and 293,633,830.40

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Solution

The fourth proportional to 906,609,689.60, 1,359,914,534.40 and 293,633,830.40 is: 440,450,745.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,609,689.60 : 1,359,914,534.40 = 293,633,830.40 : x
  2. Step 2: Convert to fraction form
    906,609,689.60/1,359,914,534.40 = 293,633,830.40/x
  3. Step 3: Cross multiply
    906,609,689.60x = 1,359,914,534.40 × 293,633,830.40
  4. Step 4: Simplify right side
    906,609,689.60x = 399,316,913,752,504,576
  5. Step 5: Solve for x
    x = 399,316,913,752,504,576/906,609,689.60
  6. Step 6: Final answer
    x = 440,450,745.60

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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.