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Finding the Fourth Proportional to 1,510,361,883,017, 2,265,542,824,525.70 and 1,510,361,883,017

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Solution

The fourth proportional to 1,510,361,883,017, 2,265,542,824,525.70 and 1,510,361,883,017 is: 2,265,542,824,525.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510,361,883,017 : 2,265,542,824,525.70 = 1,510,361,883,017 : x
  2. Step 2: Convert to fraction form
    1,510,361,883,017/2,265,542,824,525.70 = 1,510,361,883,017/x
  3. Step 3: Cross multiply
    1,510,361,883,017x = 2,265,542,824,525.70 × 1,510,361,883,017
  4. Step 4: Simplify right side
    1,510,361,883,017x = 3,421,789,526,506,289,282,154,496
  5. Step 5: Solve for x
    x = 3,421,789,526,506,289,282,154,496/1,510,361,883,017
  6. Step 6: Final answer
    x = 2,265,542,824,525.70

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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.