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Finding the Fourth Proportional to 1,564,566,888,948, 2,346,850,333,421.80 and 1,564,566,888,948

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Solution

The fourth proportional to 1,564,566,888,948, 2,346,850,333,421.80 and 1,564,566,888,948 is: 2,346,850,333,421.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564,566,888,948 : 2,346,850,333,421.80 = 1,564,566,888,948 : x
  2. Step 2: Convert to fraction form
    1,564,566,888,948/2,346,850,333,421.80 = 1,564,566,888,948/x
  3. Step 3: Cross multiply
    1,564,566,888,948x = 2,346,850,333,421.80 × 1,564,566,888,948
  4. Step 4: Simplify right side
    1,564,566,888,948x = 3,671,804,324,988,321,741,668,352
  5. Step 5: Solve for x
    x = 3,671,804,324,988,321,741,668,352/1,564,566,888,948
  6. Step 6: Final answer
    x = 2,346,850,333,421.80

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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.