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Finding the Fourth Proportional to 255,185,619,335.80, 382,778,429,003.70 and 255,185,619,335.80

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Solution

The fourth proportional to 255,185,619,335.80, 382,778,429,003.70 and 255,185,619,335.80 is: 382,778,429,003.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,185,619,335.80 : 382,778,429,003.70 = 255,185,619,335.80 : x
  2. Step 2: Convert to fraction form
    255,185,619,335.80/382,778,429,003.70 = 255,185,619,335.80/x
  3. Step 3: Cross multiply
    255,185,619,335.80x = 382,778,429,003.70 × 255,185,619,335.80
  4. Step 4: Simplify right side
    255,185,619,335.80x = 97,679,550,473,693,732,798,464
  5. Step 5: Solve for x
    x = 97,679,550,473,693,732,798,464/255,185,619,335.80
  6. Step 6: Final answer
    x = 382,778,429,003.70

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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.