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Finding the Fourth Proportional to 845,283,225.60, 1,180,977,868.80 and 845,283,225.60

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Solution

The fourth proportional to 845,283,225.60, 1,180,977,868.80 and 845,283,225.60 is: 1,180,977,868.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,283,225.60 : 1,180,977,868.80 = 845,283,225.60 : x
  2. Step 2: Convert to fraction form
    845,283,225.60/1,180,977,868.80 = 845,283,225.60/x
  3. Step 3: Cross multiply
    845,283,225.60x = 1,180,977,868.80 × 845,283,225.60
  4. Step 4: Simplify right side
    845,283,225.60x = 998,260,782,301,477,632
  5. Step 5: Solve for x
    x = 998,260,782,301,477,632/845,283,225.60
  6. Step 6: Final answer
    x = 1,180,977,868.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.