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Finding the Fourth Proportional to 201,643,812.30, 302,465,718.45 and 65,342,973.90

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Solution

The fourth proportional to 201,643,812.30, 302,465,718.45 and 65,342,973.90 is: 98,014,460.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,643,812.30 : 302,465,718.45 = 65,342,973.90 : x
  2. Step 2: Convert to fraction form
    201,643,812.30/302,465,718.45 = 65,342,973.90/x
  3. Step 3: Cross multiply
    201,643,812.30x = 302,465,718.45 × 65,342,973.90
  4. Step 4: Simplify right side
    201,643,812.30x = 19,764,009,546,323,096
  5. Step 5: Solve for x
    x = 19,764,009,546,323,096/201,643,812.30
  6. Step 6: Final answer
    x = 98,014,460.85

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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.