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Finding the Fourth Proportional to 684,548,310.30, 1,026,822,465.45 and 684,548,310.30

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Solution

The fourth proportional to 684,548,310.30, 1,026,822,465.45 and 684,548,310.30 is: 1,026,822,465.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,548,310.30 : 1,026,822,465.45 = 684,548,310.30 : x
  2. Step 2: Convert to fraction form
    684,548,310.30/1,026,822,465.45 = 684,548,310.30/x
  3. Step 3: Cross multiply
    684,548,310.30x = 1,026,822,465.45 × 684,548,310.30
  4. Step 4: Simplify right side
    684,548,310.30x = 702,909,583,701,877,632
  5. Step 5: Solve for x
    x = 702,909,583,701,877,632/684,548,310.30
  6. Step 6: Final answer
    x = 1,026,822,465.45

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1.5x scale

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.