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Finding the Fourth Proportional to 602,655,212.98, 903,986,011.82 and 188,097,316.71

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Solution

The fourth proportional to 602,655,212.98, 903,986,011.82 and 188,097,316.71 is: 282,146,971.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,655,212.98 : 903,986,011.82 = 188,097,316.71 : x
  2. Step 2: Convert to fraction form
    602,655,212.98/903,986,011.82 = 188,097,316.71/x
  3. Step 3: Cross multiply
    602,655,212.98x = 903,986,011.82 × 188,097,316.71
  4. Step 4: Simplify right side
    602,655,212.98x = 170,037,343,167,814,304
  5. Step 5: Solve for x
    x = 170,037,343,167,814,304/602,655,212.98
  6. Step 6: Final answer
    x = 282,146,971.44

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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.