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Finding the Fourth Proportional to 1,852,805,637,006, 2,779,208,455,509.30 and 1,852,805,637,006

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Solution

The fourth proportional to 1,852,805,637,006, 2,779,208,455,509.30 and 1,852,805,637,006 is: 2,779,208,455,509.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852,805,637,006 : 2,779,208,455,509.30 = 1,852,805,637,006 : x
  2. Step 2: Convert to fraction form
    1,852,805,637,006/2,779,208,455,509.30 = 1,852,805,637,006/x
  3. Step 3: Cross multiply
    1,852,805,637,006x = 2,779,208,455,509.30 × 1,852,805,637,006
  4. Step 4: Simplify right side
    1,852,805,637,006x = 5,149,333,092,782,369,421,656,064
  5. Step 5: Solve for x
    x = 5,149,333,092,782,369,421,656,064/1,852,805,637,006
  6. Step 6: Final answer
    x = 2,779,208,455,509.30

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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.