Finding the Fourth Proportional to 419,046,564,102.66, 628,569,845,444.49 and 100,692,762,849.54
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Solution
The fourth proportional to 419,046,564,102.66, 628,569,845,444.49 and 100,692,762,849.54 is: 151,039,144,103.82
Step by Step Solution
- Step 1: Write the proportion equation
419,046,564,102.66 : 628,569,845,444.49 = 100,692,762,849.54 : x - Step 2: Convert to fraction form
419,046,564,102.66/628,569,845,444.49 = 100,692,762,849.54/x - Step 3: Cross multiply
419,046,564,102.66x = 628,569,845,444.49 × 100,692,762,849.54 - Step 4: Simplify right side
419,046,564,102.66x = 63,292,434,381,714,036,359,168 - Step 5: Solve for x
x = 63,292,434,381,714,036,359,168/419,046,564,102.66 - Step 6: Final answer
x = 151,039,144,103.82
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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.