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Finding the Fourth Proportional to 201,912,169.10, 302,868,253.65 and 153,539,228.30

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Solution

The fourth proportional to 201,912,169.10, 302,868,253.65 and 153,539,228.30 is: 230,308,842.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,912,169.10 : 302,868,253.65 = 153,539,228.30 : x
  2. Step 2: Convert to fraction form
    201,912,169.10/302,868,253.65 = 153,539,228.30/x
  3. Step 3: Cross multiply
    201,912,169.10x = 302,868,253.65 × 153,539,228.30
  4. Step 4: Simplify right side
    201,912,169.10x = 46,502,157,941,989,656
  5. Step 5: Solve for x
    x = 46,502,157,941,989,656/201,912,169.10
  6. Step 6: Final answer
    x = 230,308,842.45

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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.