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Finding the Fourth Proportional to 65,361,831,214.40, 98,042,746,821.60 and 65,361,831,214.40

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Solution

The fourth proportional to 65,361,831,214.40, 98,042,746,821.60 and 65,361,831,214.40 is: 98,042,746,821.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,361,831,214.40 : 98,042,746,821.60 = 65,361,831,214.40 : x
  2. Step 2: Convert to fraction form
    65,361,831,214.40/98,042,746,821.60 = 65,361,831,214.40/x
  3. Step 3: Cross multiply
    65,361,831,214.40x = 98,042,746,821.60 × 65,361,831,214.40
  4. Step 4: Simplify right side
    65,361,831,214.40x = 6,408,253,469,549,572,128,768
  5. Step 5: Solve for x
    x = 6,408,253,469,549,572,128,768/65,361,831,214.40
  6. Step 6: Final answer
    x = 98,042,746,821.60

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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.