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Finding the Fourth Proportional to 329,833,359.60, 494,750,039.40 and 314,716,815.60

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Solution

The fourth proportional to 329,833,359.60, 494,750,039.40 and 314,716,815.60 is: 472,075,223.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,833,359.60 : 494,750,039.40 = 314,716,815.60 : x
  2. Step 2: Convert to fraction form
    329,833,359.60/494,750,039.40 = 314,716,815.60/x
  3. Step 3: Cross multiply
    329,833,359.60x = 494,750,039.40 × 314,716,815.60
  4. Step 4: Simplify right side
    329,833,359.60x = 155,706,156,917,942,528
  5. Step 5: Solve for x
    x = 155,706,156,917,942,528/329,833,359.60
  6. Step 6: Final answer
    x = 472,075,223.40

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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.