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Finding the Fourth Proportional to 9,315,766,260,010.40, 13,973,649,390,016 and 9,315,766,260,010.40

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Solution

The fourth proportional to 9,315,766,260,010.40, 13,973,649,390,016 and 9,315,766,260,010.40 is: 13,973,649,390,016

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315,766,260,010.40 : 13,973,649,390,016 = 9,315,766,260,010.40 : x
  2. Step 2: Convert to fraction form
    9,315,766,260,010.40/13,973,649,390,016 = 9,315,766,260,010.40/x
  3. Step 3: Cross multiply
    9,315,766,260,010.40x = 13,973,649,390,016 × 9,315,766,260,010.40
  4. Step 4: Simplify right side
    9,315,766,260,010.40x = 130,175,251,516,725,968,918,020,096
  5. Step 5: Solve for x
    x = 130,175,251,516,725,968,918,020,096/9,315,766,260,010.40
  6. Step 6: Final answer
    x = 13,973,649,390,016

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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.