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Finding the Fourth Proportional to 604,972,173,312.60, 907,458,259,968.90 and 604,972,173,312.60

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Solution

The fourth proportional to 604,972,173,312.60, 907,458,259,968.90 and 604,972,173,312.60 is: 907,458,259,968.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,972,173,312.60 : 907,458,259,968.90 = 604,972,173,312.60 : x
  2. Step 2: Convert to fraction form
    604,972,173,312.60/907,458,259,968.90 = 604,972,173,312.60/x
  3. Step 3: Cross multiply
    604,972,173,312.60x = 907,458,259,968.90 × 604,972,173,312.60
  4. Step 4: Simplify right side
    604,972,173,312.60x = 548,986,995,723,855,783,264,256
  5. Step 5: Solve for x
    x = 548,986,995,723,855,783,264,256/604,972,173,312.60
  6. Step 6: Final answer
    x = 907,458,259,968.90

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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.