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Finding the Fourth Proportional to 510,849,301,511.10, 766,273,952,266.65 and 510,849,301,511.10

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Solution

The fourth proportional to 510,849,301,511.10, 766,273,952,266.65 and 510,849,301,511.10 is: 766,273,952,266.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,849,301,511.10 : 766,273,952,266.65 = 510,849,301,511.10 : x
  2. Step 2: Convert to fraction form
    510,849,301,511.10/766,273,952,266.65 = 510,849,301,511.10/x
  3. Step 3: Cross multiply
    510,849,301,511.10x = 766,273,952,266.65 × 510,849,301,511.10
  4. Step 4: Simplify right side
    510,849,301,511.10x = 391,450,513,281,568,158,515,200
  5. Step 5: Solve for x
    x = 391,450,513,281,568,158,515,200/510,849,301,511.10
  6. Step 6: Final answer
    x = 766,273,952,266.65

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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.