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Finding the Fourth Proportional to 450,915,721,036.65, 676,373,581,554.98 and 450,915,721,036.65

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Solution

The fourth proportional to 450,915,721,036.65, 676,373,581,554.98 and 450,915,721,036.65 is: 676,373,581,554.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,915,721,036.65 : 676,373,581,554.98 = 450,915,721,036.65 : x
  2. Step 2: Convert to fraction form
    450,915,721,036.65/676,373,581,554.98 = 450,915,721,036.65/x
  3. Step 3: Cross multiply
    450,915,721,036.65x = 676,373,581,554.98 × 450,915,721,036.65
  4. Step 4: Simplify right side
    450,915,721,036.65x = 304,987,481,217,005,210,566,656
  5. Step 5: Solve for x
    x = 304,987,481,217,005,210,566,656/450,915,721,036.65
  6. Step 6: Final answer
    x = 676,373,581,554.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.