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Finding the Fourth Proportional to 1,090,280,736,020.50, 1,635,421,104,030.80 and 1,090,280,736,020.50

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Solution

The fourth proportional to 1,090,280,736,020.50, 1,635,421,104,030.80 and 1,090,280,736,020.50 is: 1,635,421,104,030.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090,280,736,020.50 : 1,635,421,104,030.80 = 1,090,280,736,020.50 : x
  2. Step 2: Convert to fraction form
    1,090,280,736,020.50/1,635,421,104,030.80 = 1,090,280,736,020.50/x
  3. Step 3: Cross multiply
    1,090,280,736,020.50x = 1,635,421,104,030.80 × 1,090,280,736,020.50
  4. Step 4: Simplify right side
    1,090,280,736,020.50x = 1,783,068,125,006,159,388,082,176
  5. Step 5: Solve for x
    x = 1,783,068,125,006,159,388,082,176/1,090,280,736,020.50
  6. Step 6: Final answer
    x = 1,635,421,104,030.80

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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.