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Finding the Fourth Proportional to 298,630,535.40, 447,945,803.10 and 83,219,783.40

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Solution

The fourth proportional to 298,630,535.40, 447,945,803.10 and 83,219,783.40 is: 124,829,675.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,630,535.40 : 447,945,803.10 = 83,219,783.40 : x
  2. Step 2: Convert to fraction form
    298,630,535.40/447,945,803.10 = 83,219,783.40/x
  3. Step 3: Cross multiply
    298,630,535.40x = 447,945,803.10 × 83,219,783.40
  4. Step 4: Simplify right side
    298,630,535.40x = 37,277,952,708,921,056
  5. Step 5: Solve for x
    x = 37,277,952,708,921,056/298,630,535.40
  6. Step 6: Final answer
    x = 124,829,675.10

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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.