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Finding the Fourth Proportional to 209,968,294.90, 314,952,442.35 and 166,602,709.30

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Solution

The fourth proportional to 209,968,294.90, 314,952,442.35 and 166,602,709.30 is: 249,904,063.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,968,294.90 : 314,952,442.35 = 166,602,709.30 : x
  2. Step 2: Convert to fraction form
    209,968,294.90/314,952,442.35 = 166,602,709.30/x
  3. Step 3: Cross multiply
    209,968,294.90x = 314,952,442.35 × 166,602,709.30
  4. Step 4: Simplify right side
    209,968,294.90x = 52,471,930,196,162,064
  5. Step 5: Solve for x
    x = 52,471,930,196,162,064/209,968,294.90
  6. Step 6: Final answer
    x = 249,904,063.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.