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Finding the Fourth Proportional to 973,679,620,802.20, 1,460,519,431,203.30 and 973,679,620,802.20

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Solution

The fourth proportional to 973,679,620,802.20, 1,460,519,431,203.30 and 973,679,620,802.20 is: 1,460,519,431,203.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,679,620,802.20 : 1,460,519,431,203.30 = 973,679,620,802.20 : x
  2. Step 2: Convert to fraction form
    973,679,620,802.20/1,460,519,431,203.30 = 973,679,620,802.20/x
  3. Step 3: Cross multiply
    973,679,620,802.20x = 1,460,519,431,203.30 × 973,679,620,802.20
  4. Step 4: Simplify right side
    973,679,620,802.20x = 1,422,078,005,948,273,932,632,064
  5. Step 5: Solve for x
    x = 1,422,078,005,948,273,932,632,064/973,679,620,802.20
  6. Step 6: Final answer
    x = 1,460,519,431,203.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.