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Finding the Fourth Proportional to 584,319,558,672.90, 876,479,338,009.35 and 584,319,558,672.90

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Solution

The fourth proportional to 584,319,558,672.90, 876,479,338,009.35 and 584,319,558,672.90 is: 876,479,338,009.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,319,558,672.90 : 876,479,338,009.35 = 584,319,558,672.90 : x
  2. Step 2: Convert to fraction form
    584,319,558,672.90/876,479,338,009.35 = 584,319,558,672.90/x
  3. Step 3: Cross multiply
    584,319,558,672.90x = 876,479,338,009.35 × 584,319,558,672.90
  4. Step 4: Simplify right side
    584,319,558,672.90x = 512,144,019,971,538,933,514,240
  5. Step 5: Solve for x
    x = 512,144,019,971,538,933,514,240/584,319,558,672.90
  6. Step 6: Final answer
    x = 876,479,338,009.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.