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Finding the Fourth Proportional to 462,899,390,047.20, 694,349,085,070.80 and 462,899,390,047.20

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Solution

The fourth proportional to 462,899,390,047.20, 694,349,085,070.80 and 462,899,390,047.20 is: 694,349,085,070.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,899,390,047.20 : 694,349,085,070.80 = 462,899,390,047.20 : x
  2. Step 2: Convert to fraction form
    462,899,390,047.20/694,349,085,070.80 = 462,899,390,047.20/x
  3. Step 3: Cross multiply
    462,899,390,047.20x = 694,349,085,070.80 × 462,899,390,047.20
  4. Step 4: Simplify right side
    462,899,390,047.20x = 321,413,767,959,104,756,645,888
  5. Step 5: Solve for x
    x = 321,413,767,959,104,756,645,888/462,899,390,047.20
  6. Step 6: Final answer
    x = 694,349,085,070.80

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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.