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Finding the Fourth Proportional to 299,075,714.40, 447,857,744.40 and 238,609,538.40

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Solution

The fourth proportional to 299,075,714.40, 447,857,744.40 and 238,609,538.40 is: 357,311,291.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,075,714.40 : 447,857,744.40 = 238,609,538.40 : x
  2. Step 2: Convert to fraction form
    299,075,714.40/447,857,744.40 = 238,609,538.40/x
  3. Step 3: Cross multiply
    299,075,714.40x = 447,857,744.40 × 238,609,538.40
  4. Step 4: Simplify right side
    299,075,714.40x = 106,863,129,660,149,184
  5. Step 5: Solve for x
    x = 106,863,129,660,149,184/299,075,714.40
  6. Step 6: Final answer
    x = 357,311,291.14

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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.