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Finding the Fourth Proportional to 299,203,319.40, 448,804,979.10 and 202,205,495.40

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Solution

The fourth proportional to 299,203,319.40, 448,804,979.10 and 202,205,495.40 is: 303,308,243.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,203,319.40 : 448,804,979.10 = 202,205,495.40 : x
  2. Step 2: Convert to fraction form
    299,203,319.40/448,804,979.10 = 202,205,495.40/x
  3. Step 3: Cross multiply
    299,203,319.40x = 448,804,979.10 × 202,205,495.40
  4. Step 4: Simplify right side
    299,203,319.40x = 90,750,833,136,902,160
  5. Step 5: Solve for x
    x = 90,750,833,136,902,160/299,203,319.40
  6. Step 6: Final answer
    x = 303,308,243.10

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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.