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Finding the Fourth Proportional to 435,456,069.30, 610,444,712.70 and 435,456,069.30

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Solution

The fourth proportional to 435,456,069.30, 610,444,712.70 and 435,456,069.30 is: 610,444,712.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,456,069.30 : 610,444,712.70 = 435,456,069.30 : x
  2. Step 2: Convert to fraction form
    435,456,069.30/610,444,712.70 = 435,456,069.30/x
  3. Step 3: Cross multiply
    435,456,069.30x = 610,444,712.70 × 435,456,069.30
  4. Step 4: Simplify right side
    435,456,069.30x = 265,821,855,117,309,824
  5. Step 5: Solve for x
    x = 265,821,855,117,309,824/435,456,069.30
  6. Step 6: Final answer
    x = 610,444,712.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.