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Finding the Fourth Proportional to 52,814,656,827.30, 79,221,985,240.95 and 52,814,656,827.30

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Solution

The fourth proportional to 52,814,656,827.30, 79,221,985,240.95 and 52,814,656,827.30 is: 79,221,985,240.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,814,656,827.30 : 79,221,985,240.95 = 52,814,656,827.30 : x
  2. Step 2: Convert to fraction form
    52,814,656,827.30/79,221,985,240.95 = 52,814,656,827.30/x
  3. Step 3: Cross multiply
    52,814,656,827.30x = 79,221,985,240.95 × 52,814,656,827.30
  4. Step 4: Simplify right side
    52,814,656,827.30x = 4,184,081,963,678,199,971,840
  5. Step 5: Solve for x
    x = 4,184,081,963,678,199,971,840/52,814,656,827.30
  6. Step 6: Final answer
    x = 79,221,985,240.95

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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.