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Finding the Fourth Proportional to 697,882,363.47, 963,220,573.49 and 415,790,056.80

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Solution

The fourth proportional to 697,882,363.47, 963,220,573.49 and 415,790,056.80 is: 573,875,423.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,882,363.47 : 963,220,573.49 = 415,790,056.80 : x
  2. Step 2: Convert to fraction form
    697,882,363.47/963,220,573.49 = 415,790,056.80/x
  3. Step 3: Cross multiply
    697,882,363.47x = 963,220,573.49 × 415,790,056.80
  4. Step 4: Simplify right side
    697,882,363.47x = 400,497,536,960,256,768
  5. Step 5: Solve for x
    x = 400,497,536,960,256,768/697,882,363.47
  6. Step 6: Final answer
    x = 573,875,423.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.