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Finding the Fourth Proportional to 64,758,528,906.60, 97,137,793,359.90 and 64,758,528,906.60

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Solution

The fourth proportional to 64,758,528,906.60, 97,137,793,359.90 and 64,758,528,906.60 is: 97,137,793,359.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,758,528,906.60 : 97,137,793,359.90 = 64,758,528,906.60 : x
  2. Step 2: Convert to fraction form
    64,758,528,906.60/97,137,793,359.90 = 64,758,528,906.60/x
  3. Step 3: Cross multiply
    64,758,528,906.60x = 97,137,793,359.90 × 64,758,528,906.60
  4. Step 4: Simplify right side
    64,758,528,906.60x = 6,290,500,599,220,421,001,216
  5. Step 5: Solve for x
    x = 6,290,500,599,220,421,001,216/64,758,528,906.60
  6. Step 6: Final answer
    x = 97,137,793,359.90

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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.