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Finding the Fourth Proportional to 468,021,357.80, 702,032,036.70 and 238,438,845.80

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Solution

The fourth proportional to 468,021,357.80, 702,032,036.70 and 238,438,845.80 is: 357,658,268.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,021,357.80 : 702,032,036.70 = 238,438,845.80 : x
  2. Step 2: Convert to fraction form
    468,021,357.80/702,032,036.70 = 238,438,845.80/x
  3. Step 3: Cross multiply
    468,021,357.80x = 702,032,036.70 × 238,438,845.80
  4. Step 4: Simplify right side
    468,021,357.80x = 167,391,708,545,371,264
  5. Step 5: Solve for x
    x = 167,391,708,545,371,264/468,021,357.80
  6. Step 6: Final answer
    x = 357,658,268.70

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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.