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Finding the Fourth Proportional to 464,843,271.30, 697,264,906.95 and 464,843,271.30

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Solution

The fourth proportional to 464,843,271.30, 697,264,906.95 and 464,843,271.30 is: 697,264,906.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,843,271.30 : 697,264,906.95 = 464,843,271.30 : x
  2. Step 2: Convert to fraction form
    464,843,271.30/697,264,906.95 = 464,843,271.30/x
  3. Step 3: Cross multiply
    464,843,271.30x = 697,264,906.95 × 464,843,271.30
  4. Step 4: Simplify right side
    464,843,271.30x = 324,118,900,309,328,128
  5. Step 5: Solve for x
    x = 324,118,900,309,328,128/464,843,271.30
  6. Step 6: Final answer
    x = 697,264,906.95

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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.