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Finding the Fourth Proportional to 319,222,201.40, 478,833,302.10 and 319,222,201.40

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Solution

The fourth proportional to 319,222,201.40, 478,833,302.10 and 319,222,201.40 is: 478,833,302.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,222,201.40 : 478,833,302.10 = 319,222,201.40 : x
  2. Step 2: Convert to fraction form
    319,222,201.40/478,833,302.10 = 319,222,201.40/x
  3. Step 3: Cross multiply
    319,222,201.40x = 478,833,302.10 × 319,222,201.40
  4. Step 4: Simplify right side
    319,222,201.40x = 152,854,220,799,993,248
  5. Step 5: Solve for x
    x = 152,854,220,799,993,248/319,222,201.40
  6. Step 6: Final answer
    x = 478,833,302.10

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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.