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Finding the Fourth Proportional to 264,377,427.90, 364,849,062.90 and 145,297,859.40

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Solution

The fourth proportional to 264,377,427.90, 364,849,062.90 and 145,297,859.40 is: 200,515,559.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,377,427.90 : 364,849,062.90 = 145,297,859.40 : x
  2. Step 2: Convert to fraction form
    264,377,427.90/364,849,062.90 = 145,297,859.40/x
  3. Step 3: Cross multiply
    264,377,427.90x = 364,849,062.90 × 145,297,859.40
  4. Step 4: Simplify right side
    264,377,427.90x = 53,011,787,843,465,952
  5. Step 5: Solve for x
    x = 53,011,787,843,465,952/264,377,427.90
  6. Step 6: Final answer
    x = 200,515,559.38

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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.