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Finding the Fourth Proportional to 314,613,072,308.70, 471,919,608,463.05 and 314,613,072,308.70

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Solution

The fourth proportional to 314,613,072,308.70, 471,919,608,463.05 and 314,613,072,308.70 is: 471,919,608,463.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,613,072,308.70 : 471,919,608,463.05 = 314,613,072,308.70 : x
  2. Step 2: Convert to fraction form
    314,613,072,308.70/471,919,608,463.05 = 314,613,072,308.70/x
  3. Step 3: Cross multiply
    314,613,072,308.70x = 471,919,608,463.05 × 314,613,072,308.70
  4. Step 4: Simplify right side
    314,613,072,308.70x = 148,472,077,901,278,946,000,896
  5. Step 5: Solve for x
    x = 148,472,077,901,278,946,000,896/314,613,072,308.70
  6. Step 6: Final answer
    x = 471,919,608,463.05

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1.5x scale

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.