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Finding the Fourth Proportional to 403,314,782,208.40, 604,972,173,312.60 and 403,314,782,208.40

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Solution

The fourth proportional to 403,314,782,208.40, 604,972,173,312.60 and 403,314,782,208.40 is: 604,972,173,312.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,314,782,208.40 : 604,972,173,312.60 = 403,314,782,208.40 : x
  2. Step 2: Convert to fraction form
    403,314,782,208.40/604,972,173,312.60 = 403,314,782,208.40/x
  3. Step 3: Cross multiply
    403,314,782,208.40x = 604,972,173,312.60 × 403,314,782,208.40
  4. Step 4: Simplify right side
    403,314,782,208.40x = 243,994,220,321,713,707,548,672
  5. Step 5: Solve for x
    x = 243,994,220,321,713,707,548,672/403,314,782,208.40
  6. Step 6: Final answer
    x = 604,972,173,312.60

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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.