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Finding the Fourth Proportional to 255,301,657,466.70, 382,952,486,200.05 and 255,301,657,466.70

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Solution

The fourth proportional to 255,301,657,466.70, 382,952,486,200.05 and 255,301,657,466.70 is: 382,952,486,200.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,301,657,466.70 : 382,952,486,200.05 = 255,301,657,466.70 : x
  2. Step 2: Convert to fraction form
    255,301,657,466.70/382,952,486,200.05 = 255,301,657,466.70/x
  3. Step 3: Cross multiply
    255,301,657,466.70x = 382,952,486,200.05 × 255,301,657,466.70
  4. Step 4: Simplify right side
    255,301,657,466.70x = 97,768,404,457,866,332,733,440
  5. Step 5: Solve for x
    x = 97,768,404,457,866,332,733,440/255,301,657,466.70
  6. Step 6: Final answer
    x = 382,952,486,200.05

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Double scale
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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.