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Finding the Fourth Proportional to 325,824,307.60, 488,736,461.40 and 325,824,307.60

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Solution

The fourth proportional to 325,824,307.60, 488,736,461.40 and 325,824,307.60 is: 488,736,461.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,824,307.60 : 488,736,461.40 = 325,824,307.60 : x
  2. Step 2: Convert to fraction form
    325,824,307.60/488,736,461.40 = 325,824,307.60/x
  3. Step 3: Cross multiply
    325,824,307.60x = 488,736,461.40 × 325,824,307.60
  4. Step 4: Simplify right side
    325,824,307.60x = 159,242,219,134,529,120
  5. Step 5: Solve for x
    x = 159,242,219,134,529,120/325,824,307.60
  6. Step 6: Final answer
    x = 488,736,461.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.