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Finding the Fourth Proportional to 1,404,731,141.76, 1,938,648,018.42 and 778,396,036.80

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Solution

The fourth proportional to 1,404,731,141.76, 1,938,648,018.42 and 778,396,036.80 is: 1,074,252,495.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404,731,141.76 : 1,938,648,018.42 = 778,396,036.80 : x
  2. Step 2: Convert to fraction form
    1,404,731,141.76/1,938,648,018.42 = 778,396,036.80/x
  3. Step 3: Cross multiply
    1,404,731,141.76x = 1,938,648,018.42 × 778,396,036.80
  4. Step 4: Simplify right side
    1,404,731,141.76x = 1,509,035,934,288,301,312
  5. Step 5: Solve for x
    x = 1,509,035,934,288,301,312/1,404,731,141.76
  6. Step 6: Final answer
    x = 1,074,252,495.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.