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Finding the Fourth Proportional to 255,301,604,233.20, 382,952,406,349.80 and 255,301,604,233.20

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Solution

The fourth proportional to 255,301,604,233.20, 382,952,406,349.80 and 255,301,604,233.20 is: 382,952,406,349.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,301,604,233.20 : 382,952,406,349.80 = 255,301,604,233.20 : x
  2. Step 2: Convert to fraction form
    255,301,604,233.20/382,952,406,349.80 = 255,301,604,233.20/x
  3. Step 3: Cross multiply
    255,301,604,233.20x = 382,952,406,349.80 × 255,301,604,233.20
  4. Step 4: Simplify right side
    255,301,604,233.20x = 97,768,363,686,068,226,097,152
  5. Step 5: Solve for x
    x = 97,768,363,686,068,226,097,152/255,301,604,233.20
  6. Step 6: Final answer
    x = 382,952,406,349.80

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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.