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Finding the Fourth Proportional to 201,912,169.60, 302,868,254.40 and 153,539,228.80

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Solution

The fourth proportional to 201,912,169.60, 302,868,254.40 and 153,539,228.80 is: 230,308,843.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,912,169.60 : 302,868,254.40 = 153,539,228.80 : x
  2. Step 2: Convert to fraction form
    201,912,169.60/302,868,254.40 = 153,539,228.80/x
  3. Step 3: Cross multiply
    201,912,169.60x = 302,868,254.40 × 153,539,228.80
  4. Step 4: Simplify right side
    201,912,169.60x = 46,502,158,208,578,208
  5. Step 5: Solve for x
    x = 46,502,158,208,578,208/201,912,169.60
  6. Step 6: Final answer
    x = 230,308,843.20

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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.