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Finding the Fourth Proportional to 30,405,891,402.60, 42,626,295,492.60 and 30,405,891,402.60

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Solution

The fourth proportional to 30,405,891,402.60, 42,626,295,492.60 and 30,405,891,402.60 is: 42,626,295,492.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,405,891,402.60 : 42,626,295,492.60 = 30,405,891,402.60 : x
  2. Step 2: Convert to fraction form
    30,405,891,402.60/42,626,295,492.60 = 30,405,891,402.60/x
  3. Step 3: Cross multiply
    30,405,891,402.60x = 42,626,295,492.60 × 30,405,891,402.60
  4. Step 4: Simplify right side
    30,405,891,402.60x = 1,296,090,511,643,133,345,792
  5. Step 5: Solve for x
    x = 1,296,090,511,643,133,345,792/30,405,891,402.60
  6. Step 6: Final answer
    x = 42,626,295,492.60

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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.