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Finding the Fourth Proportional to 566,889,908.40, 850,334,862.60 and 280,235,444.40

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Solution

The fourth proportional to 566,889,908.40, 850,334,862.60 and 280,235,444.40 is: 420,353,166.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,889,908.40 : 850,334,862.60 = 280,235,444.40 : x
  2. Step 2: Convert to fraction form
    566,889,908.40/850,334,862.60 = 280,235,444.40/x
  3. Step 3: Cross multiply
    566,889,908.40x = 850,334,862.60 × 280,235,444.40
  4. Step 4: Simplify right side
    566,889,908.40x = 238,293,968,109,523,936
  5. Step 5: Solve for x
    x = 238,293,968,109,523,936/566,889,908.40
  6. Step 6: Final answer
    x = 420,353,166.60

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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.