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Finding the Fourth Proportional to 400,032,090.40, 599,152,340.40 and 238,788,954.40

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Solution

The fourth proportional to 400,032,090.40, 599,152,340.40 and 238,788,954.40 is: 357,648,709.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,032,090.40 : 599,152,340.40 = 238,788,954.40 : x
  2. Step 2: Convert to fraction form
    400,032,090.40/599,152,340.40 = 238,788,954.40/x
  3. Step 3: Cross multiply
    400,032,090.40x = 599,152,340.40 × 238,788,954.40
  4. Step 4: Simplify right side
    400,032,090.40x = 143,070,960,890,428,880
  5. Step 5: Solve for x
    x = 143,070,960,890,428,880/400,032,090.40
  6. Step 6: Final answer
    x = 357,648,709.50

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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.