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Finding the Fourth Proportional to 367,780,828,057.80, 551,671,242,086.70 and 367,780,828,057.80

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Solution

The fourth proportional to 367,780,828,057.80, 551,671,242,086.70 and 367,780,828,057.80 is: 551,671,242,086.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,780,828,057.80 : 551,671,242,086.70 = 367,780,828,057.80 : x
  2. Step 2: Convert to fraction form
    367,780,828,057.80/551,671,242,086.70 = 367,780,828,057.80/x
  3. Step 3: Cross multiply
    367,780,828,057.80x = 551,671,242,086.70 × 367,780,828,057.80
  4. Step 4: Simplify right side
    367,780,828,057.80x = 202,894,106,230,321,552,818,176
  5. Step 5: Solve for x
    x = 202,894,106,230,321,552,818,176/367,780,828,057.80
  6. Step 6: Final answer
    x = 551,671,242,086.70

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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.