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Finding the Fourth Proportional to 390,300,768,093.60, 584,349,156,082.80 and 390,300,768,093.60

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Solution

The fourth proportional to 390,300,768,093.60, 584,349,156,082.80 and 390,300,768,093.60 is: 584,349,156,082.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,300,768,093.60 : 584,349,156,082.80 = 390,300,768,093.60 : x
  2. Step 2: Convert to fraction form
    390,300,768,093.60/584,349,156,082.80 = 390,300,768,093.60/x
  3. Step 3: Cross multiply
    390,300,768,093.60x = 584,349,156,082.80 × 390,300,768,093.60
  4. Step 4: Simplify right side
    390,300,768,093.60x = 228,071,924,453,963,787,665,408
  5. Step 5: Solve for x
    x = 228,071,924,453,963,787,665,408/390,300,768,093.60
  6. Step 6: Final answer
    x = 584,349,156,082.80

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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.