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Finding the Fourth Proportional to 297,975,482.30, 411,241,963.48 and 180,497,365.58

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Solution

The fourth proportional to 297,975,482.30, 411,241,963.48 and 180,497,365.58 is: 249,108,048.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,975,482.30 : 411,241,963.48 = 180,497,365.58 : x
  2. Step 2: Convert to fraction form
    297,975,482.30/411,241,963.48 = 180,497,365.58/x
  3. Step 3: Cross multiply
    297,975,482.30x = 411,241,963.48 × 180,497,365.58
  4. Step 4: Simplify right side
    297,975,482.30x = 74,228,091,024,086,576
  5. Step 5: Solve for x
    x = 74,228,091,024,086,576/297,975,482.30
  6. Step 6: Final answer
    x = 249,108,048.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.