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Finding the Fourth Proportional to 266,468,022.90, 399,702,034.35 and 201,897,941.40

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Solution

The fourth proportional to 266,468,022.90, 399,702,034.35 and 201,897,941.40 is: 302,846,912.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,468,022.90 : 399,702,034.35 = 201,897,941.40 : x
  2. Step 2: Convert to fraction form
    266,468,022.90/399,702,034.35 = 201,897,941.40/x
  3. Step 3: Cross multiply
    266,468,022.90x = 399,702,034.35 × 201,897,941.40
  4. Step 4: Simplify right side
    266,468,022.90x = 80,699,017,908,657,088
  5. Step 5: Solve for x
    x = 80,699,017,908,657,088/266,468,022.90
  6. Step 6: Final answer
    x = 302,846,912.10

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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.