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Finding the Fourth Proportional to 10,759,849,746,768, 16,139,774,620,152 and 10,759,849,746,768

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Solution

The fourth proportional to 10,759,849,746,768, 16,139,774,620,152 and 10,759,849,746,768 is: 16,139,774,620,152

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,759,849,746,768 : 16,139,774,620,152 = 10,759,849,746,768 : x
  2. Step 2: Convert to fraction form
    10,759,849,746,768/16,139,774,620,152 = 10,759,849,746,768/x
  3. Step 3: Cross multiply
    10,759,849,746,768x = 16,139,774,620,152 × 10,759,849,746,768
  4. Step 4: Simplify right side
    10,759,849,746,768x = 173,661,549,859,535,090,654,117,888
  5. Step 5: Solve for x
    x = 173,661,549,859,535,090,654,117,888/10,759,849,746,768
  6. Step 6: Final answer
    x = 16,139,774,620,152

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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.