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Finding the Fourth Proportional to 209,952,256.90, 314,928,385.35 and 201,449,200.90

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Solution

The fourth proportional to 209,952,256.90, 314,928,385.35 and 201,449,200.90 is: 302,173,801.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,256.90 : 314,928,385.35 = 201,449,200.90 : x
  2. Step 2: Convert to fraction form
    209,952,256.90/314,928,385.35 = 201,449,200.90/x
  3. Step 3: Cross multiply
    209,952,256.90x = 314,928,385.35 × 201,449,200.90
  4. Step 4: Simplify right side
    209,952,256.90x = 63,442,071,569,484,776
  5. Step 5: Solve for x
    x = 63,442,071,569,484,776/209,952,256.90
  6. Step 6: Final answer
    x = 302,173,801.35

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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.