Finding the Fourth Proportional to 1,022,998,408.24, 1,411,735,148.07 and 570,871,635.02
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Solution
The fourth proportional to 1,022,998,408.24, 1,411,735,148.07 and 570,871,635.02 is: 787,801,374.58
Step by Step Solution
- Step 1: Write the proportion equation
1,022,998,408.24 : 1,411,735,148.07 = 570,871,635.02 : x - Step 2: Convert to fraction form
1,022,998,408.24/1,411,735,148.07 = 570,871,635.02/x - Step 3: Cross multiply
1,022,998,408.24x = 1,411,735,148.07 × 570,871,635.02 - Step 4: Simplify right side
1,022,998,408.24x = 805,919,552,201,176,448 - Step 5: Solve for x
x = 805,919,552,201,176,448/1,022,998,408.24 - Step 6: Final answer
x = 787,801,374.58
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.