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Finding the Fourth Proportional to 102,619,888,279.40, 143,863,754,001.40 and 102,619,888,279.40

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Solution

The fourth proportional to 102,619,888,279.40, 143,863,754,001.40 and 102,619,888,279.40 is: 143,863,754,001.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,619,888,279.40 : 143,863,754,001.40 = 102,619,888,279.40 : x
  2. Step 2: Convert to fraction form
    102,619,888,279.40/143,863,754,001.40 = 102,619,888,279.40/x
  3. Step 3: Cross multiply
    102,619,888,279.40x = 143,863,754,001.40 × 102,619,888,279.40
  4. Step 4: Simplify right side
    102,619,888,279.40x = 14,763,282,363,078,752,075,776
  5. Step 5: Solve for x
    x = 14,763,282,363,078,752,075,776/102,619,888,279.40
  6. Step 6: Final answer
    x = 143,863,754,001.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.