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Finding the Fourth Proportional to 435,664,233.80, 611,460,477.40 and 435,664,233.80

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Solution

The fourth proportional to 435,664,233.80, 611,460,477.40 and 435,664,233.80 is: 611,460,477.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,664,233.80 : 611,460,477.40 = 435,664,233.80 : x
  2. Step 2: Convert to fraction form
    435,664,233.80/611,460,477.40 = 435,664,233.80/x
  3. Step 3: Cross multiply
    435,664,233.80x = 611,460,477.40 × 435,664,233.80
  4. Step 4: Simplify right side
    435,664,233.80x = 266,391,460,385,453,216
  5. Step 5: Solve for x
    x = 266,391,460,385,453,216/435,664,233.80
  6. Step 6: Final answer
    x = 611,460,477.40

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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.