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Finding the Fourth Proportional to 199,706,646.40, 299,559,969.60 and 165,666,428.80

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Solution

The fourth proportional to 199,706,646.40, 299,559,969.60 and 165,666,428.80 is: 248,499,643.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,706,646.40 : 299,559,969.60 = 165,666,428.80 : x
  2. Step 2: Convert to fraction form
    199,706,646.40/299,559,969.60 = 165,666,428.80/x
  3. Step 3: Cross multiply
    199,706,646.40x = 299,559,969.60 × 165,666,428.80
  4. Step 4: Simplify right side
    199,706,646.40x = 49,627,030,375,068,576
  5. Step 5: Solve for x
    x = 49,627,030,375,068,576/199,706,646.40
  6. Step 6: Final answer
    x = 248,499,643.20

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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.