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Finding the Fourth Proportional to 201,218,751.60, 301,828,127.40 and 150,200,415.60

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Solution

The fourth proportional to 201,218,751.60, 301,828,127.40 and 150,200,415.60 is: 225,300,623.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,218,751.60 : 301,828,127.40 = 150,200,415.60 : x
  2. Step 2: Convert to fraction form
    201,218,751.60/301,828,127.40 = 150,200,415.60/x
  3. Step 3: Cross multiply
    201,218,751.60x = 301,828,127.40 × 150,200,415.60
  4. Step 4: Simplify right side
    201,218,751.60x = 45,334,710,175,249,744
  5. Step 5: Solve for x
    x = 45,334,710,175,249,744/201,218,751.60
  6. Step 6: Final answer
    x = 225,300,623.40

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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.