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Finding the Fourth Proportional to 201,393,746.40, 301,807,184.40 and 149,170,810.80

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Solution

The fourth proportional to 201,393,746.40, 301,807,184.40 and 149,170,810.80 is: 223,546,277.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,393,746.40 : 301,807,184.40 = 149,170,810.80 : x
  2. Step 2: Convert to fraction form
    201,393,746.40/301,807,184.40 = 149,170,810.80/x
  3. Step 3: Cross multiply
    201,393,746.40x = 301,807,184.40 × 149,170,810.80
  4. Step 4: Simplify right side
    201,393,746.40x = 45,020,822,402,213,112
  5. Step 5: Solve for x
    x = 45,020,822,402,213,112/201,393,746.40
  6. Step 6: Final answer
    x = 223,546,277.91

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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.