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Finding the Fourth Proportional to 645,869,007.10, 968,803,510.65 and 645,869,007.10

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Solution

The fourth proportional to 645,869,007.10, 968,803,510.65 and 645,869,007.10 is: 968,803,510.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,869,007.10 : 968,803,510.65 = 645,869,007.10 : x
  2. Step 2: Convert to fraction form
    645,869,007.10/968,803,510.65 = 645,869,007.10/x
  3. Step 3: Cross multiply
    645,869,007.10x = 968,803,510.65 × 645,869,007.10
  4. Step 4: Simplify right side
    645,869,007.10x = 625,720,161,498,509,824
  5. Step 5: Solve for x
    x = 625,720,161,498,509,824/645,869,007.10
  6. Step 6: Final answer
    x = 968,803,510.65

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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.