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Finding the Fourth Proportional to 482,959,872,021.20, 724,439,808,031.80 and 482,959,872,021.20

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Solution

The fourth proportional to 482,959,872,021.20, 724,439,808,031.80 and 482,959,872,021.20 is: 724,439,808,031.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,959,872,021.20 : 724,439,808,031.80 = 482,959,872,021.20 : x
  2. Step 2: Convert to fraction form
    482,959,872,021.20/724,439,808,031.80 = 482,959,872,021.20/x
  3. Step 3: Cross multiply
    482,959,872,021.20x = 724,439,808,031.80 × 482,959,872,021.20
  4. Step 4: Simplify right side
    482,959,872,021.20x = 349,875,356,974,100,881,866,752
  5. Step 5: Solve for x
    x = 349,875,356,974,100,881,866,752/482,959,872,021.20
  6. Step 6: Final answer
    x = 724,439,808,031.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.