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Finding the Fourth Proportional to 1,090,280,736,810.30, 1,635,421,105,215.50 and 1,090,280,736,810.30

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Solution

The fourth proportional to 1,090,280,736,810.30, 1,635,421,105,215.50 and 1,090,280,736,810.30 is: 1,635,421,105,215.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090,280,736,810.30 : 1,635,421,105,215.50 = 1,090,280,736,810.30 : x
  2. Step 2: Convert to fraction form
    1,090,280,736,810.30/1,635,421,105,215.50 = 1,090,280,736,810.30/x
  3. Step 3: Cross multiply
    1,090,280,736,810.30x = 1,635,421,105,215.50 × 1,090,280,736,810.30
  4. Step 4: Simplify right side
    1,090,280,736,810.30x = 1,783,068,127,589,470,547,476,480
  5. Step 5: Solve for x
    x = 1,783,068,127,589,470,547,476,480/1,090,280,736,810.30
  6. Step 6: Final answer
    x = 1,635,421,105,215.50

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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.