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Finding the Fourth Proportional to 272,629,233,289.70, 408,943,849,934.55 and 272,629,233,289.70

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Solution

The fourth proportional to 272,629,233,289.70, 408,943,849,934.55 and 272,629,233,289.70 is: 408,943,849,934.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,629,233,289.70 : 408,943,849,934.55 = 272,629,233,289.70 : x
  2. Step 2: Convert to fraction form
    272,629,233,289.70/408,943,849,934.55 = 272,629,233,289.70/x
  3. Step 3: Cross multiply
    272,629,233,289.70x = 408,943,849,934.55 × 272,629,233,289.70
  4. Step 4: Simplify right side
    272,629,233,289.70x = 111,490,048,266,194,506,481,664
  5. Step 5: Solve for x
    x = 111,490,048,266,194,506,481,664/272,629,233,289.70
  6. Step 6: Final answer
    x = 408,943,849,934.55

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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.