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Finding the Fourth Proportional to 210,316,503.83, 315,474,755.74 and 210,316,503.83

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Solution

The fourth proportional to 210,316,503.83, 315,474,755.74 and 210,316,503.83 is: 315,474,755.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,316,503.83 : 315,474,755.74 = 210,316,503.83 : x
  2. Step 2: Convert to fraction form
    210,316,503.83/315,474,755.74 = 210,316,503.83/x
  3. Step 3: Cross multiply
    210,316,503.83x = 315,474,755.74 × 210,316,503.83
  4. Step 4: Simplify right side
    210,316,503.83x = 66,349,547,671,756,856
  5. Step 5: Solve for x
    x = 66,349,547,671,756,856/210,316,503.83
  6. Step 6: Final answer
    x = 315,474,755.74

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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.