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Finding the Fourth Proportional to 5,012,492,463,000.90, 7,518,738,694,501.20 and 5,012,492,463,000.90

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Solution

The fourth proportional to 5,012,492,463,000.90, 7,518,738,694,501.20 and 5,012,492,463,000.90 is: 7,518,738,694,501.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,012,492,463,000.90 : 7,518,738,694,501.20 = 5,012,492,463,000.90 : x
  2. Step 2: Convert to fraction form
    5,012,492,463,000.90/7,518,738,694,501.20 = 5,012,492,463,000.90/x
  3. Step 3: Cross multiply
    5,012,492,463,000.90x = 7,518,738,694,501.20 × 5,012,492,463,000.90
  4. Step 4: Simplify right side
    5,012,492,463,000.90x = 37,687,621,037,460,495,343,288,320
  5. Step 5: Solve for x
    x = 37,687,621,037,460,495,343,288,320/5,012,492,463,000.90
  6. Step 6: Final answer
    x = 7,518,738,694,501.20

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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.