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Finding the Fourth Proportional to 4,655,178,051.45, 6,982,767,077.19 and 4,655,178,051.45

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Solution

The fourth proportional to 4,655,178,051.45, 6,982,767,077.19 and 4,655,178,051.45 is: 6,982,767,077.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655,178,051.45 : 6,982,767,077.19 = 4,655,178,051.45 : x
  2. Step 2: Convert to fraction form
    4,655,178,051.45/6,982,767,077.19 = 4,655,178,051.45/x
  3. Step 3: Cross multiply
    4,655,178,051.45x = 6,982,767,077.19 × 4,655,178,051.45
  4. Step 4: Simplify right side
    4,655,178,051.45x = 32,506,024,036,122,554,368
  5. Step 5: Solve for x
    x = 32,506,024,036,122,554,368/4,655,178,051.45
  6. Step 6: Final answer
    x = 6,982,767,077.19

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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.