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Finding the Fourth Proportional to 499,602,916, 689,524,176.32 and 287,869,210.12

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Solution

The fourth proportional to 499,602,916, 689,524,176.32 and 287,869,210.12 is: 397,301,083.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,602,916 : 689,524,176.32 = 287,869,210.12 : x
  2. Step 2: Convert to fraction form
    499,602,916/689,524,176.32 = 287,869,210.12/x
  3. Step 3: Cross multiply
    499,602,916x = 689,524,176.32 × 287,869,210.12
  4. Step 4: Simplify right side
    499,602,916x = 198,492,779,995,882,016
  5. Step 5: Solve for x
    x = 198,492,779,995,882,016/499,602,916
  6. Step 6: Final answer
    x = 397,301,083.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.