Finding the Fourth Proportional to 772,583,766,177.60, 1,066,165,648,592.20 and 430,020,277,588.80
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Solution
The fourth proportional to 772,583,766,177.60, 1,066,165,648,592.20 and 430,020,277,588.80 is: 593,428,011,607.83
Step by Step Solution
- Step 1: Write the proportion equation
772,583,766,177.60 : 1,066,165,648,592.20 = 430,020,277,588.80 : x - Step 2: Convert to fraction form
772,583,766,177.60/1,066,165,648,592.20 = 430,020,277,588.80/x - Step 3: Cross multiply
772,583,766,177.60x = 1,066,165,648,592.20 × 430,020,277,588.80 - Step 4: Simplify right side
772,583,766,177.60x = 458,472,848,163,260,831,105,024 - Step 5: Solve for x
x = 458,472,848,163,260,831,105,024/772,583,766,177.60 - Step 6: Final answer
x = 593,428,011,607.83
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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.