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Finding the Fourth Proportional to 260,008,272,040.40, 390,012,408,060.60 and 260,008,272,040.40

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Solution

The fourth proportional to 260,008,272,040.40, 390,012,408,060.60 and 260,008,272,040.40 is: 390,012,408,060.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,008,272,040.40 : 390,012,408,060.60 = 260,008,272,040.40 : x
  2. Step 2: Convert to fraction form
    260,008,272,040.40/390,012,408,060.60 = 260,008,272,040.40/x
  3. Step 3: Cross multiply
    260,008,272,040.40x = 390,012,408,060.60 × 260,008,272,040.40
  4. Step 4: Simplify right side
    260,008,272,040.40x = 101,406,452,294,151,972,061,184
  5. Step 5: Solve for x
    x = 101,406,452,294,151,972,061,184/260,008,272,040.40
  6. Step 6: Final answer
    x = 390,012,408,060.60

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Why These Related Problems?

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