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Finding the Fourth Proportional to 240,465,160,151.30, 360,697,740,226.95 and 240,465,160,151.30

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Solution

The fourth proportional to 240,465,160,151.30, 360,697,740,226.95 and 240,465,160,151.30 is: 360,697,740,226.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,465,160,151.30 : 360,697,740,226.95 = 240,465,160,151.30 : x
  2. Step 2: Convert to fraction form
    240,465,160,151.30/360,697,740,226.95 = 240,465,160,151.30/x
  3. Step 3: Cross multiply
    240,465,160,151.30x = 360,697,740,226.95 × 240,465,160,151.30
  4. Step 4: Simplify right side
    240,465,160,151.30x = 86,735,239,869,885,526,835,200
  5. Step 5: Solve for x
    x = 86,735,239,869,885,526,835,200/240,465,160,151.30
  6. Step 6: Final answer
    x = 360,697,740,226.95

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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.