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Finding the Fourth Proportional to 76,405,676,101.60, 114,608,514,152.40 and 76,405,676,101.60

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Solution

The fourth proportional to 76,405,676,101.60, 114,608,514,152.40 and 76,405,676,101.60 is: 114,608,514,152.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,405,676,101.60 : 114,608,514,152.40 = 76,405,676,101.60 : x
  2. Step 2: Convert to fraction form
    76,405,676,101.60/114,608,514,152.40 = 76,405,676,101.60/x
  3. Step 3: Cross multiply
    76,405,676,101.60x = 114,608,514,152.40 × 76,405,676,101.60
  4. Step 4: Simplify right side
    76,405,676,101.60x = 8,756,741,010,813,913,923,584
  5. Step 5: Solve for x
    x = 8,756,741,010,813,913,923,584/76,405,676,101.60
  6. Step 6: Final answer
    x = 114,608,514,152.40

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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.