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Finding the Fourth Proportional to 304,535,376,186.80, 456,803,064,280.20 and 304,535,376,186.80

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Solution

The fourth proportional to 304,535,376,186.80, 456,803,064,280.20 and 304,535,376,186.80 is: 456,803,064,280.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,535,376,186.80 : 456,803,064,280.20 = 304,535,376,186.80 : x
  2. Step 2: Convert to fraction form
    304,535,376,186.80/456,803,064,280.20 = 304,535,376,186.80/x
  3. Step 3: Cross multiply
    304,535,376,186.80x = 456,803,064,280.20 × 304,535,376,186.80
  4. Step 4: Simplify right side
    304,535,376,186.80x = 139,112,693,023,853,695,205,376
  5. Step 5: Solve for x
    x = 139,112,693,023,853,695,205,376/304,535,376,186.80
  6. Step 6: Final answer
    x = 456,803,064,280.20

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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.