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Finding the Fourth Proportional to 584,319,555,767.02, 876,479,333,650.52 and 584,319,555,767.02

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Solution

The fourth proportional to 584,319,555,767.02, 876,479,333,650.52 and 584,319,555,767.02 is: 876,479,333,650.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,319,555,767.02 : 876,479,333,650.52 = 584,319,555,767.02 : x
  2. Step 2: Convert to fraction form
    584,319,555,767.02/876,479,333,650.52 = 584,319,555,767.02/x
  3. Step 3: Cross multiply
    584,319,555,767.02x = 876,479,333,650.52 × 584,319,555,767.02
  4. Step 4: Simplify right side
    584,319,555,767.02x = 512,144,014,877,645,577,650,176
  5. Step 5: Solve for x
    x = 512,144,014,877,645,577,650,176/584,319,555,767.02
  6. Step 6: Final answer
    x = 876,479,333,650.52

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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.