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Finding the Fourth Proportional to 354,294,368.40, 531,441,552.60 and 266,996,326.80

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Solution

The fourth proportional to 354,294,368.40, 531,441,552.60 and 266,996,326.80 is: 400,494,490.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,294,368.40 : 531,441,552.60 = 266,996,326.80 : x
  2. Step 2: Convert to fraction form
    354,294,368.40/531,441,552.60 = 266,996,326.80/x
  3. Step 3: Cross multiply
    354,294,368.40x = 531,441,552.60 × 266,996,326.80
  4. Step 4: Simplify right side
    354,294,368.40x = 141,892,942,453,089,008
  5. Step 5: Solve for x
    x = 141,892,942,453,089,008/354,294,368.40
  6. Step 6: Final answer
    x = 400,494,490.20

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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.