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Finding the Fourth Proportional to 199,099,575,815.40, 298,649,363,723.10 and 199,099,575,815.40

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Solution

The fourth proportional to 199,099,575,815.40, 298,649,363,723.10 and 199,099,575,815.40 is: 298,649,363,723.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,099,575,815.40 : 298,649,363,723.10 = 199,099,575,815.40 : x
  2. Step 2: Convert to fraction form
    199,099,575,815.40/298,649,363,723.10 = 199,099,575,815.40/x
  3. Step 3: Cross multiply
    199,099,575,815.40x = 298,649,363,723.10 × 199,099,575,815.40
  4. Step 4: Simplify right side
    199,099,575,815.40x = 59,460,961,634,808,309,481,472
  5. Step 5: Solve for x
    x = 59,460,961,634,808,309,481,472/199,099,575,815.40
  6. Step 6: Final answer
    x = 298,649,363,723.10

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1.5x scale

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.