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Finding the Fourth Proportional to 436,739,046,429.80, 655,108,569,644.70 and 436,739,046,429.80

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Solution

The fourth proportional to 436,739,046,429.80, 655,108,569,644.70 and 436,739,046,429.80 is: 655,108,569,644.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,739,046,429.80 : 655,108,569,644.70 = 436,739,046,429.80 : x
  2. Step 2: Convert to fraction form
    436,739,046,429.80/655,108,569,644.70 = 436,739,046,429.80/x
  3. Step 3: Cross multiply
    436,739,046,429.80x = 655,108,569,644.70 × 436,739,046,429.80
  4. Step 4: Simplify right side
    436,739,046,429.80x = 286,111,492,014,616,468,258,816
  5. Step 5: Solve for x
    x = 286,111,492,014,616,468,258,816/436,739,046,429.80
  6. Step 6: Final answer
    x = 655,108,569,644.70

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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.