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Finding the Fourth Proportional to 390,012,408,049.35, 585,018,612,074.02 and 390,012,408,049.35

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Solution

The fourth proportional to 390,012,408,049.35, 585,018,612,074.02 and 390,012,408,049.35 is: 585,018,612,074.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,012,408,049.35 : 585,018,612,074.02 = 390,012,408,049.35 : x
  2. Step 2: Convert to fraction form
    390,012,408,049.35/585,018,612,074.02 = 390,012,408,049.35/x
  3. Step 3: Cross multiply
    390,012,408,049.35x = 585,018,612,074.02 × 390,012,408,049.35
  4. Step 4: Simplify right side
    390,012,408,049.35x = 228,164,517,648,677,073,846,272
  5. Step 5: Solve for x
    x = 228,164,517,648,677,073,846,272/390,012,408,049.35
  6. Step 6: Final answer
    x = 585,018,612,074.02

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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.