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Finding the Fourth Proportional to 453,869,704,673.04, 680,804,557,009.56 and 453,869,704,673.04

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Solution

The fourth proportional to 453,869,704,673.04, 680,804,557,009.56 and 453,869,704,673.04 is: 680,804,557,009.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,869,704,673.04 : 680,804,557,009.56 = 453,869,704,673.04 : x
  2. Step 2: Convert to fraction form
    453,869,704,673.04/680,804,557,009.56 = 453,869,704,673.04/x
  3. Step 3: Cross multiply
    453,869,704,673.04x = 680,804,557,009.56 × 453,869,704,673.04
  4. Step 4: Simplify right side
    453,869,704,673.04x = 308,996,563,229,988,819,566,592
  5. Step 5: Solve for x
    x = 308,996,563,229,988,819,566,592/453,869,704,673.04
  6. Step 6: Final answer
    x = 680,804,557,009.56

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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.