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Finding the Fourth Proportional to 709,742,051.17, 1,064,849,595.68 and 447,123,413.59

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Solution

The fourth proportional to 709,742,051.17, 1,064,849,595.68 and 447,123,413.59 is: 670,834,122.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,742,051.17 : 1,064,849,595.68 = 447,123,413.59 : x
  2. Step 2: Convert to fraction form
    709,742,051.17/1,064,849,595.68 = 447,123,413.59/x
  3. Step 3: Cross multiply
    709,742,051.17x = 1,064,849,595.68 × 447,123,413.59
  4. Step 4: Simplify right side
    709,742,051.17x = 476,119,186,180,372,864
  5. Step 5: Solve for x
    x = 476,119,186,180,372,864/709,742,051.17
  6. Step 6: Final answer
    x = 670,834,122.62

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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.