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Finding the Fourth Proportional to 1,852,805,637,009, 2,779,208,455,513.80 and 1,852,805,637,009

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Solution

The fourth proportional to 1,852,805,637,009, 2,779,208,455,513.80 and 1,852,805,637,009 is: 2,779,208,455,513.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852,805,637,009 : 2,779,208,455,513.80 = 1,852,805,637,009 : x
  2. Step 2: Convert to fraction form
    1,852,805,637,009/2,779,208,455,513.80 = 1,852,805,637,009/x
  3. Step 3: Cross multiply
    1,852,805,637,009x = 2,779,208,455,513.80 × 1,852,805,637,009
  4. Step 4: Simplify right side
    1,852,805,637,009x = 5,149,333,092,799,044,632,182,784
  5. Step 5: Solve for x
    x = 5,149,333,092,799,044,632,182,784/1,852,805,637,009
  6. Step 6: Final answer
    x = 2,779,208,455,513.80

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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.