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Finding the Fourth Proportional to 34,630,416,101.60, 51,945,624,152.40 and 34,630,416,101.60

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Solution

The fourth proportional to 34,630,416,101.60, 51,945,624,152.40 and 34,630,416,101.60 is: 51,945,624,152.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,630,416,101.60 : 51,945,624,152.40 = 34,630,416,101.60 : x
  2. Step 2: Convert to fraction form
    34,630,416,101.60/51,945,624,152.40 = 34,630,416,101.60/x
  3. Step 3: Cross multiply
    34,630,416,101.60x = 51,945,624,152.40 × 34,630,416,101.60
  4. Step 4: Simplify right side
    34,630,416,101.60x = 1,798,898,579,054,934,884,352
  5. Step 5: Solve for x
    x = 1,798,898,579,054,934,884,352/34,630,416,101.60
  6. Step 6: Final answer
    x = 51,945,624,152.40

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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.