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Finding the Fourth Proportional to 1,564,566,888,916.10, 2,346,850,333,374.10 and 1,564,566,888,916.10

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Solution

The fourth proportional to 1,564,566,888,916.10, 2,346,850,333,374.10 and 1,564,566,888,916.10 is: 2,346,850,333,374.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564,566,888,916.10 : 2,346,850,333,374.10 = 1,564,566,888,916.10 : x
  2. Step 2: Convert to fraction form
    1,564,566,888,916.10/2,346,850,333,374.10 = 1,564,566,888,916.10/x
  3. Step 3: Cross multiply
    1,564,566,888,916.10x = 2,346,850,333,374.10 × 1,564,566,888,916.10
  4. Step 4: Simplify right side
    1,564,566,888,916.10x = 3,671,804,324,838,827,888,738,304
  5. Step 5: Solve for x
    x = 3,671,804,324,838,827,888,738,304/1,564,566,888,916.10
  6. Step 6: Final answer
    x = 2,346,850,333,374.10

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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.