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Finding the Fourth Proportional to 594,077,732,083.20, 891,116,598,124.80 and 594,077,732,083.20

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Solution

The fourth proportional to 594,077,732,083.20, 891,116,598,124.80 and 594,077,732,083.20 is: 891,116,598,124.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,077,732,083.20 : 891,116,598,124.80 = 594,077,732,083.20 : x
  2. Step 2: Convert to fraction form
    594,077,732,083.20/891,116,598,124.80 = 594,077,732,083.20/x
  3. Step 3: Cross multiply
    594,077,732,083.20x = 891,116,598,124.80 × 594,077,732,083.20
  4. Step 4: Simplify right side
    594,077,732,083.20x = 529,392,527,635,677,534,224,384
  5. Step 5: Solve for x
    x = 529,392,527,635,677,534,224,384/594,077,732,083.20
  6. Step 6: Final answer
    x = 891,116,598,124.80

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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.