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Finding the Fourth Proportional to 6,952,809,935.60, 10,429,214,903.40 and 6,952,809,935.60

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Solution

The fourth proportional to 6,952,809,935.60, 10,429,214,903.40 and 6,952,809,935.60 is: 10,429,214,903.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952,809,935.60 : 10,429,214,903.40 = 6,952,809,935.60 : x
  2. Step 2: Convert to fraction form
    6,952,809,935.60/10,429,214,903.40 = 6,952,809,935.60/x
  3. Step 3: Cross multiply
    6,952,809,935.60x = 10,429,214,903.40 × 6,952,809,935.60
  4. Step 4: Simplify right side
    6,952,809,935.60x = 72,512,349,000,867,119,104
  5. Step 5: Solve for x
    x = 72,512,349,000,867,119,104/6,952,809,935.60
  6. Step 6: Final answer
    x = 10,429,214,903.40

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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.