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Finding the Fourth Proportional to 147,064,136,910.40, 220,596,205,365.60 and 147,064,136,910.40

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Solution

The fourth proportional to 147,064,136,910.40, 220,596,205,365.60 and 147,064,136,910.40 is: 220,596,205,365.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,064,136,910.40 : 220,596,205,365.60 = 147,064,136,910.40 : x
  2. Step 2: Convert to fraction form
    147,064,136,910.40/220,596,205,365.60 = 147,064,136,910.40/x
  3. Step 3: Cross multiply
    147,064,136,910.40x = 220,596,205,365.60 × 147,064,136,910.40
  4. Step 4: Simplify right side
    147,064,136,910.40x = 32,441,790,547,801,313,116,160
  5. Step 5: Solve for x
    x = 32,441,790,547,801,313,116,160/147,064,136,910.40
  6. Step 6: Final answer
    x = 220,596,205,365.60

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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.