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Finding the Fourth Proportional to 1,852,805,637,011, 2,779,208,455,516.80 and 1,852,805,637,011

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Solution

The fourth proportional to 1,852,805,637,011, 2,779,208,455,516.80 and 1,852,805,637,011 is: 2,779,208,455,516.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852,805,637,011 : 2,779,208,455,516.80 = 1,852,805,637,011 : x
  2. Step 2: Convert to fraction form
    1,852,805,637,011/2,779,208,455,516.80 = 1,852,805,637,011/x
  3. Step 3: Cross multiply
    1,852,805,637,011x = 2,779,208,455,516.80 × 1,852,805,637,011
  4. Step 4: Simplify right side
    1,852,805,637,011x = 5,149,333,092,810,162,155,028,480
  5. Step 5: Solve for x
    x = 5,149,333,092,810,162,155,028,480/1,852,805,637,011
  6. Step 6: Final answer
    x = 2,779,208,455,516.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.