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Finding the Fourth Proportional to 510,849,301,515.60, 766,273,952,273.40 and 510,849,301,515.60

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Solution

The fourth proportional to 510,849,301,515.60, 766,273,952,273.40 and 510,849,301,515.60 is: 766,273,952,273.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,849,301,515.60 : 766,273,952,273.40 = 510,849,301,515.60 : x
  2. Step 2: Convert to fraction form
    510,849,301,515.60/766,273,952,273.40 = 510,849,301,515.60/x
  3. Step 3: Cross multiply
    510,849,301,515.60x = 766,273,952,273.40 × 510,849,301,515.60
  4. Step 4: Simplify right side
    510,849,301,515.60x = 391,450,513,288,464,600,924,160
  5. Step 5: Solve for x
    x = 391,450,513,288,464,600,924,160/510,849,301,515.60
  6. Step 6: Final answer
    x = 766,273,952,273.40

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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.