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Finding the Fourth Proportional to 31,274,328,216.90, 46,911,492,325.35 and 31,274,328,216.90

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Solution

The fourth proportional to 31,274,328,216.90, 46,911,492,325.35 and 31,274,328,216.90 is: 46,911,492,325.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,274,328,216.90 : 46,911,492,325.35 = 31,274,328,216.90 : x
  2. Step 2: Convert to fraction form
    31,274,328,216.90/46,911,492,325.35 = 31,274,328,216.90/x
  3. Step 3: Cross multiply
    31,274,328,216.90x = 46,911,492,325.35 × 31,274,328,216.90
  4. Step 4: Simplify right side
    31,274,328,216.90x = 1,467,125,408,127,581,421,568
  5. Step 5: Solve for x
    x = 1,467,125,408,127,581,421,568/31,274,328,216.90
  6. Step 6: Final answer
    x = 46,911,492,325.35

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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.