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Finding the Fourth Proportional to 497,664,532.60, 697,446,981.80 and 497,664,532.60

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Solution

The fourth proportional to 497,664,532.60, 697,446,981.80 and 497,664,532.60 is: 697,446,981.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,664,532.60 : 697,446,981.80 = 497,664,532.60 : x
  2. Step 2: Convert to fraction form
    497,664,532.60/697,446,981.80 = 497,664,532.60/x
  3. Step 3: Cross multiply
    497,664,532.60x = 697,446,981.80 × 497,664,532.60
  4. Step 4: Simplify right side
    497,664,532.60x = 347,094,626,210,777,728
  5. Step 5: Solve for x
    x = 347,094,626,210,777,728/497,664,532.60
  6. Step 6: Final answer
    x = 697,446,981.80

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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.