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Finding the Fourth Proportional to 1,300,256,159.04, 1,794,348,099.92 and 772,054,951.68

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Solution

The fourth proportional to 1,300,256,159.04, 1,794,348,099.92 and 772,054,951.68 is: 1,065,432,627.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300,256,159.04 : 1,794,348,099.92 = 772,054,951.68 : x
  2. Step 2: Convert to fraction form
    1,300,256,159.04/1,794,348,099.92 = 772,054,951.68/x
  3. Step 3: Cross multiply
    1,300,256,159.04x = 1,794,348,099.92 × 772,054,951.68
  4. Step 4: Simplify right side
    1,300,256,159.04x = 1,385,335,335,580,835,328
  5. Step 5: Solve for x
    x = 1,385,335,335,580,835,328/1,300,256,159.04
  6. Step 6: Final answer
    x = 1,065,432,627.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.