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Finding the Fourth Proportional to 9,698,856,809.40, 14,548,285,214.10 and 9,698,856,809.40

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Solution

The fourth proportional to 9,698,856,809.40, 14,548,285,214.10 and 9,698,856,809.40 is: 14,548,285,214.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698,856,809.40 : 14,548,285,214.10 = 9,698,856,809.40 : x
  2. Step 2: Convert to fraction form
    9,698,856,809.40/14,548,285,214.10 = 9,698,856,809.40/x
  3. Step 3: Cross multiply
    9,698,856,809.40x = 14,548,285,214.10 × 9,698,856,809.40
  4. Step 4: Simplify right side
    9,698,856,809.40x = 141,101,735,113,867,116,544
  5. Step 5: Solve for x
    x = 141,101,735,113,867,116,544/9,698,856,809.40
  6. Step 6: Final answer
    x = 14,548,285,214.10

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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.