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Finding the Fourth Proportional to 260,008,272,030.65, 390,012,408,045.97 and 260,008,272,030.65

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Solution

The fourth proportional to 260,008,272,030.65, 390,012,408,045.97 and 260,008,272,030.65 is: 390,012,408,045.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,008,272,030.65 : 390,012,408,045.97 = 260,008,272,030.65 : x
  2. Step 2: Convert to fraction form
    260,008,272,030.65/390,012,408,045.97 = 260,008,272,030.65/x
  3. Step 3: Cross multiply
    260,008,272,030.65x = 390,012,408,045.97 × 260,008,272,030.65
  4. Step 4: Simplify right side
    260,008,272,030.65x = 101,406,452,286,545,433,985,024
  5. Step 5: Solve for x
    x = 101,406,452,286,545,433,985,024/260,008,272,030.65
  6. Step 6: Final answer
    x = 390,012,408,045.97

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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.