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Finding the Fourth Proportional to 510,198,315.60, 715,638,130.80 and 510,198,315.60

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Solution

The fourth proportional to 510,198,315.60, 715,638,130.80 and 510,198,315.60 is: 715,638,130.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,198,315.60 : 715,638,130.80 = 510,198,315.60 : x
  2. Step 2: Convert to fraction form
    510,198,315.60/715,638,130.80 = 510,198,315.60/x
  3. Step 3: Cross multiply
    510,198,315.60x = 715,638,130.80 × 510,198,315.60
  4. Step 4: Simplify right side
    510,198,315.60x = 365,117,368,913,292,480
  5. Step 5: Solve for x
    x = 365,117,368,913,292,480/510,198,315.60
  6. Step 6: Final answer
    x = 715,638,130.80

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Double scale
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1.5x scale

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.