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Finding the Fourth Proportional to 302,431,210.65, 453,646,815.98 and 302,431,210.65

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Solution

The fourth proportional to 302,431,210.65, 453,646,815.98 and 302,431,210.65 is: 453,646,815.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,431,210.65 : 453,646,815.98 = 302,431,210.65 : x
  2. Step 2: Convert to fraction form
    302,431,210.65/453,646,815.98 = 302,431,210.65/x
  3. Step 3: Cross multiply
    302,431,210.65x = 453,646,815.98 × 302,431,210.65
  4. Step 4: Simplify right side
    302,431,210.65x = 137,196,955,762,837,008
  5. Step 5: Solve for x
    x = 137,196,955,762,837,008/302,431,210.65
  6. Step 6: Final answer
    x = 453,646,815.98

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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.