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Finding the Fourth Proportional to 4,549,458,045.83, 6,824,187,068.74 and 4,549,458,045.83

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Solution

The fourth proportional to 4,549,458,045.83, 6,824,187,068.74 and 4,549,458,045.83 is: 6,824,187,068.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549,458,045.83 : 6,824,187,068.74 = 4,549,458,045.83 : x
  2. Step 2: Convert to fraction form
    4,549,458,045.83/6,824,187,068.74 = 4,549,458,045.83/x
  3. Step 3: Cross multiply
    4,549,458,045.83x = 6,824,187,068.74 × 4,549,458,045.83
  4. Step 4: Simplify right side
    4,549,458,045.83x = 31,046,352,766,082,740,224
  5. Step 5: Solve for x
    x = 31,046,352,766,082,740,224/4,549,458,045.83
  6. Step 6: Final answer
    x = 6,824,187,068.74

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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.