Finding the Fourth Proportional to 1,974,032,475,783.80, 2,961,251,600,120.70 and 683,241,617,971.14
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Solution
The fourth proportional to 1,974,032,475,783.80, 2,961,251,600,120.70 and 683,241,617,971.14 is: 1,024,932,648,933.63
Step by Step Solution
- Step 1: Write the proportion equation
1,974,032,475,783.80 : 2,961,251,600,120.70 = 683,241,617,971.14 : x - Step 2: Convert to fraction form
1,974,032,475,783.80/2,961,251,600,120.70 = 683,241,617,971.14/x - Step 3: Cross multiply
1,974,032,475,783.80x = 2,961,251,600,120.70 × 683,241,617,971.14 - Step 4: Simplify right side
1,974,032,475,783.80x = 2,023,250,334,486,094,650,802,176 - Step 5: Solve for x
x = 2,023,250,334,486,094,650,802,176/1,974,032,475,783.80 - Step 6: Final answer
x = 1,024,932,648,933.63
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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.