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Finding the Fourth Proportional to 646,554,933.50, 969,840,798.33 and 215,733,429.50

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Solution

The fourth proportional to 646,554,933.50, 969,840,798.33 and 215,733,429.50 is: 323,602,946.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,554,933.50 : 969,840,798.33 = 215,733,429.50 : x
  2. Step 2: Convert to fraction form
    646,554,933.50/969,840,798.33 = 215,733,429.50/x
  3. Step 3: Cross multiply
    646,554,933.50x = 969,840,798.33 × 215,733,429.50
  4. Step 4: Simplify right side
    646,554,933.50x = 209,227,081,492,748,768
  5. Step 5: Solve for x
    x = 209,227,081,492,748,768/646,554,933.50
  6. Step 6: Final answer
    x = 323,602,946.40

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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.