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Finding the Fourth Proportional to 2,675,274,069,823.50, 4,012,911,104,735.40 and 2,675,274,069,823.50

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Solution

The fourth proportional to 2,675,274,069,823.50, 4,012,911,104,735.40 and 2,675,274,069,823.50 is: 4,012,911,104,735.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675,274,069,823.50 : 4,012,911,104,735.40 = 2,675,274,069,823.50 : x
  2. Step 2: Convert to fraction form
    2,675,274,069,823.50/4,012,911,104,735.40 = 2,675,274,069,823.50/x
  3. Step 3: Cross multiply
    2,675,274,069,823.50x = 4,012,911,104,735.40 × 2,675,274,069,823.50
  4. Step 4: Simplify right side
    2,675,274,069,823.50x = 10,735,637,023,005,391,106,080,768
  5. Step 5: Solve for x
    x = 10,735,637,023,005,391,106,080,768/2,675,274,069,823.50
  6. Step 6: Final answer
    x = 4,012,911,104,735.40

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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.