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Finding the Fourth Proportional to 201,774,677.90, 302,662,016.85 and 200,074,066.70

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Solution

The fourth proportional to 201,774,677.90, 302,662,016.85 and 200,074,066.70 is: 300,111,100.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,774,677.90 : 302,662,016.85 = 200,074,066.70 : x
  2. Step 2: Convert to fraction form
    201,774,677.90/302,662,016.85 = 200,074,066.70/x
  3. Step 3: Cross multiply
    201,774,677.90x = 302,662,016.85 × 200,074,066.70
  4. Step 4: Simplify right side
    201,774,677.90x = 60,554,820,546,803,424
  5. Step 5: Solve for x
    x = 60,554,820,546,803,424/201,774,677.90
  6. Step 6: Final answer
    x = 300,111,100.05

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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.