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Finding the Fourth Proportional to 77,649,408,032.20, 116,474,112,048.30 and 77,649,408,032.20

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Solution

The fourth proportional to 77,649,408,032.20, 116,474,112,048.30 and 77,649,408,032.20 is: 116,474,112,048.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,649,408,032.20 : 116,474,112,048.30 = 77,649,408,032.20 : x
  2. Step 2: Convert to fraction form
    77,649,408,032.20/116,474,112,048.30 = 77,649,408,032.20/x
  3. Step 3: Cross multiply
    77,649,408,032.20x = 116,474,112,048.30 × 77,649,408,032.20
  4. Step 4: Simplify right side
    77,649,408,032.20x = 9,044,145,851,626,628,841,472
  5. Step 5: Solve for x
    x = 9,044,145,851,626,628,841,472/77,649,408,032.20
  6. Step 6: Final answer
    x = 116,474,112,048.30

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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.