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Finding the Fourth Proportional to 348,798,794,024.40, 523,198,191,036.60 and 348,798,794,024.40

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Solution

The fourth proportional to 348,798,794,024.40, 523,198,191,036.60 and 348,798,794,024.40 is: 523,198,191,036.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,798,794,024.40 : 523,198,191,036.60 = 348,798,794,024.40 : x
  2. Step 2: Convert to fraction form
    348,798,794,024.40/523,198,191,036.60 = 348,798,794,024.40/x
  3. Step 3: Cross multiply
    348,798,794,024.40x = 523,198,191,036.60 × 348,798,794,024.40
  4. Step 4: Simplify right side
    348,798,794,024.40x = 182,490,898,069,313,734,836,224
  5. Step 5: Solve for x
    x = 182,490,898,069,313,734,836,224/348,798,794,024.40
  6. Step 6: Final answer
    x = 523,198,191,036.60

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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.