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Finding the Fourth Proportional to 403,359,356.40, 605,039,034.60 and 394,401,404.40

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Solution

The fourth proportional to 403,359,356.40, 605,039,034.60 and 394,401,404.40 is: 591,602,106.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,359,356.40 : 605,039,034.60 = 394,401,404.40 : x
  2. Step 2: Convert to fraction form
    403,359,356.40/605,039,034.60 = 394,401,404.40/x
  3. Step 3: Cross multiply
    403,359,356.40x = 605,039,034.60 × 394,401,404.40
  4. Step 4: Simplify right side
    403,359,356.40x = 238,628,244,963,060,192
  5. Step 5: Solve for x
    x = 238,628,244,963,060,192/403,359,356.40
  6. Step 6: Final answer
    x = 591,602,106.60

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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.