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Finding the Fourth Proportional to 301,807,266.60, 452,710,899.90 and 214,131,311.40

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Solution

The fourth proportional to 301,807,266.60, 452,710,899.90 and 214,131,311.40 is: 321,196,967.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,807,266.60 : 452,710,899.90 = 214,131,311.40 : x
  2. Step 2: Convert to fraction form
    301,807,266.60/452,710,899.90 = 214,131,311.40/x
  3. Step 3: Cross multiply
    301,807,266.60x = 452,710,899.90 × 214,131,311.40
  4. Step 4: Simplify right side
    301,807,266.60x = 96,939,578,680,661,120
  5. Step 5: Solve for x
    x = 96,939,578,680,661,120/301,807,266.60
  6. Step 6: Final answer
    x = 321,196,967.10

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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.