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Finding the Fourth Proportional to 986,354,557,200.90, 1,479,531,835,801.40 and 986,354,557,200.90

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Solution

The fourth proportional to 986,354,557,200.90, 1,479,531,835,801.40 and 986,354,557,200.90 is: 1,479,531,835,801.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,354,557,200.90 : 1,479,531,835,801.40 = 986,354,557,200.90 : x
  2. Step 2: Convert to fraction form
    986,354,557,200.90/1,479,531,835,801.40 = 986,354,557,200.90/x
  3. Step 3: Cross multiply
    986,354,557,200.90x = 1,479,531,835,801.40 × 986,354,557,200.90
  4. Step 4: Simplify right side
    986,354,557,200.90x = 1,459,342,968,766,524,557,361,152
  5. Step 5: Solve for x
    x = 1,459,342,968,766,524,557,361,152/986,354,557,200.90
  6. Step 6: Final answer
    x = 1,479,531,835,801.40

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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.