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Finding the Fourth Proportional to 476,491,201.80, 714,736,802.70 and 218,210,875.80

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Solution

The fourth proportional to 476,491,201.80, 714,736,802.70 and 218,210,875.80 is: 327,316,313.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,491,201.80 : 714,736,802.70 = 218,210,875.80 : x
  2. Step 2: Convert to fraction form
    476,491,201.80/714,736,802.70 = 218,210,875.80/x
  3. Step 3: Cross multiply
    476,491,201.80x = 714,736,802.70 × 218,210,875.80
  4. Step 4: Simplify right side
    476,491,201.80x = 155,963,343,683,658,816
  5. Step 5: Solve for x
    x = 155,963,343,683,658,816/476,491,201.80
  6. Step 6: Final answer
    x = 327,316,313.70

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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.