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Finding the Fourth Proportional to 782,298,047.60, 1,173,447,071.40 and 782,298,047.60

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Solution

The fourth proportional to 782,298,047.60, 1,173,447,071.40 and 782,298,047.60 is: 1,173,447,071.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,298,047.60 : 1,173,447,071.40 = 782,298,047.60 : x
  2. Step 2: Convert to fraction form
    782,298,047.60/1,173,447,071.40 = 782,298,047.60/x
  3. Step 3: Cross multiply
    782,298,047.60x = 1,173,447,071.40 × 782,298,047.60
  4. Step 4: Simplify right side
    782,298,047.60x = 917,985,352,918,157,952
  5. Step 5: Solve for x
    x = 917,985,352,918,157,952/782,298,047.60
  6. Step 6: Final answer
    x = 1,173,447,071.40

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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.