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Finding the Fourth Proportional to 5,157,029,284.65, 7,735,543,926.98 and 5,157,029,284.65

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Solution

The fourth proportional to 5,157,029,284.65, 7,735,543,926.98 and 5,157,029,284.65 is: 7,735,543,926.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157,029,284.65 : 7,735,543,926.98 = 5,157,029,284.65 : x
  2. Step 2: Convert to fraction form
    5,157,029,284.65/7,735,543,926.98 = 5,157,029,284.65/x
  3. Step 3: Cross multiply
    5,157,029,284.65x = 7,735,543,926.98 × 5,157,029,284.65
  4. Step 4: Simplify right side
    5,157,029,284.65x = 39,892,426,564,106,534,912
  5. Step 5: Solve for x
    x = 39,892,426,564,106,534,912/5,157,029,284.65
  6. Step 6: Final answer
    x = 7,735,543,926.98

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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.