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Finding the Fourth Proportional to 211,075,636,011.20, 316,613,454,016.80 and 211,075,636,011.20

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Solution

The fourth proportional to 211,075,636,011.20, 316,613,454,016.80 and 211,075,636,011.20 is: 316,613,454,016.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,075,636,011.20 : 316,613,454,016.80 = 211,075,636,011.20 : x
  2. Step 2: Convert to fraction form
    211,075,636,011.20/316,613,454,016.80 = 211,075,636,011.20/x
  3. Step 3: Cross multiply
    211,075,636,011.20x = 316,613,454,016.80 × 211,075,636,011.20
  4. Step 4: Simplify right side
    211,075,636,011.20x = 66,829,386,176,298,888,462,336
  5. Step 5: Solve for x
    x = 66,829,386,176,298,888,462,336/211,075,636,011.20
  6. Step 6: Final answer
    x = 316,613,454,016.80

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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.