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Finding the Fourth Proportional to 1,852,805,637,007.30, 2,779,208,455,511 and 1,852,805,637,007.30

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Solution

The fourth proportional to 1,852,805,637,007.30, 2,779,208,455,511 and 1,852,805,637,007.30 is: 2,779,208,455,511

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852,805,637,007.30 : 2,779,208,455,511 = 1,852,805,637,007.30 : x
  2. Step 2: Convert to fraction form
    1,852,805,637,007.30/2,779,208,455,511 = 1,852,805,637,007.30/x
  3. Step 3: Cross multiply
    1,852,805,637,007.30x = 2,779,208,455,511 × 1,852,805,637,007.30
  4. Step 4: Simplify right side
    1,852,805,637,007.30x = 5,149,333,092,789,132,921,405,440
  5. Step 5: Solve for x
    x = 5,149,333,092,789,132,921,405,440/1,852,805,637,007.30
  6. Step 6: Final answer
    x = 2,779,208,455,511

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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.