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Finding the Fourth Proportional to 200,051,167.80, 300,076,751.70 and 56,443,999.80

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Solution

The fourth proportional to 200,051,167.80, 300,076,751.70 and 56,443,999.80 is: 84,665,999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,051,167.80 : 300,076,751.70 = 56,443,999.80 : x
  2. Step 2: Convert to fraction form
    200,051,167.80/300,076,751.70 = 56,443,999.80/x
  3. Step 3: Cross multiply
    200,051,167.80x = 300,076,751.70 × 56,443,999.80
  4. Step 4: Simplify right side
    200,051,167.80x = 16,937,532,112,939,448
  5. Step 5: Solve for x
    x = 16,937,532,112,939,448/200,051,167.80
  6. Step 6: Final answer
    x = 84,665,999.70

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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.